BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Nicolas Raymond (Angers)
DTSTART:20200512T141500Z
DTEND:20200512T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/1/">On the spectrum of a Dirac bag model in strong magnetic fields</a>\n
 by Nicolas Raymond (Angers) as part of Munich-Copenhagen-Santiago Mathemat
 ical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Esteban (CEREMADE)
DTSTART:20200519T141500Z
DTEND:20200519T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/2/">Magnetic interpolation inequalities in dimensions 2 and 3</a>\nby Ma
 ria Esteban (CEREMADE) as part of Munich-Copenhagen-Santiago Mathematical 
 Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Horia Cornean (Aalborg)
DTSTART:20200526T141500Z
DTEND:20200526T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/3/">Bulk-edge correspondence at positive temperature</a>\nby Horia Corne
 an (Aalborg) as part of Munich-Copenhagen-Santiago Mathematical Physics se
 minar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean-Claude Cuenin (Loughborough)
DTSTART:20200602T141500Z
DTEND:20200602T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/4/">Weakly coupled bound states of $|p^2-1| - \\lambda V$</a>\nby Jean-C
 laude Cuenin (Loughborough) as part of Munich-Copenhagen-Santiago Mathemat
 ical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Serena Cenatiempo (Gran Sasso)
DTSTART:20200609T141500Z
DTEND:20200609T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/5/">TBA</a>\nby Serena Cenatiempo (Gran Sasso) as part of Munich-Copenha
 gen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mathieu Lewin
DTSTART:20200616T141500Z
DTEND:20200616T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/6/">The eigenvalues of one-particle Dirac operator with general charge d
 istributions</a>\nby Mathieu Lewin as part of Munich-Copenhagen-Santiago M
 athematical Physics seminar\n\n\nAbstract\nFor heavy atoms and molecules\,
  relativistic effects have to be taken into account. The most precise opti
 on is to use the Dirac operator\, but it is then notoriously difficult to 
 include Coulomb potentials\, which scale the same as the kinetic energy. I
 n this talk I will discuss one-particle Dirac operators with the potential
  induced by an arbitrary charge distribution. I will particularly focus on
  min-max formulas for the eigenvalues and on an important conjecture about
  the optimality of the first Dirac eigenvalue. If true\, this conjecture w
 ould have an impact on the shape of the potential energy surface of molecu
 les in Dirac theory.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rupert Frank (LMU and CalTech)
DTSTART:20200623T150000Z
DTEND:20200623T160000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/7
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/7/">Recent results and open problems on Lieb-Thirring inequalities</a>\n
 by Rupert Frank (LMU and CalTech) as part of Munich-Copenhagen-Santiago Ma
 thematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pedro Freitas (Lisbon)
DTSTART:20200630T141500Z
DTEND:20200630T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/8/">Extremal Robin eigenvalues: exploring the $\\alpha$-$\\lambda$ plane
 </a>\nby Pedro Freitas (Lisbon) as part of Munich-Copenhagen-Santiago Math
 ematical Physics seminar\n\n\nAbstract\nWe will present an overview of ext
 remal eigenvalues of the Robin Laplacian. This includes recent results for
  low eigenvalues and\, time permitting\, the high-frequency behaviour and 
 its effect on a Pólya-type conjecture. Based on joint work with Pedro Ant
 unes\, James Kennedy\, David Krejčiřík\, and Richard Laugesen.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rafael Benguria (Santiago)
DTSTART:20200428T141500Z
DTEND:20200428T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/9
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/9/">Gagliardo-Nirenberg-Sobolev Inequalities and their counterparts on b
 ounded domains</a>\nby Rafael Benguria (Santiago) as part of Munich-Copenh
 agen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan Philip Solovej (Copenhagen)
DTSTART:20200505T141500Z
DTEND:20200505T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/10
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/10/">The Bogolubov variational model and its accuracy as an approximatio
 n to many-body Bose systems</a>\nby Jan Philip Solovej (Copenhagen) as par
 t of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: 
 TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Sobolev (University College London)
DTSTART:20201013T141500Z
DTEND:20201013T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/11
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/11/">On spectral properties of the one-particle density matrix</a>\nby A
 lexander Sobolev (University College London) as part of Munich-Copenhagen-
 Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simone Rademacher (IST Austria)
DTSTART:20201020T141500Z
DTEND:20201020T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/12
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/12/">Quantum fluctuations for the dynamics of the strongly coupled polar
 on</a>\nby Simone Rademacher (IST Austria) as part of Munich-Copenhagen-Sa
 ntiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Enno Lenzmann (Universität Basel)
DTSTART:20201027T151500Z
DTEND:20201027T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/13
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/13/">Moser meets (nonlinear) Schrödinger</a>\nby Enno Lenzmann (Univers
 ität Basel) as part of Munich-Copenhagen-Santiago Mathematical Physics se
 minar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan Derezinski (University of Warsaw)
DTSTART:20201103T151500Z
DTEND:20201103T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/14
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/14/">Homogeneous Schrödinger operators and the Lie algebra SL(2\,R)</a>
 \nby Jan Derezinski (University of Warsaw) as part of Munich-Copenhagen-Sa
 ntiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuela Giacomelli (LMU)
DTSTART:20201110T151500Z
DTEND:20201110T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/15
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/15/">The dilute Fermi gas via Bogoliubov theory</a>\nby Emanuela Giacome
 lli (LMU) as part of Munich-Copenhagen-Santiago Mathematical Physics semin
 ar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Walter de Siqueira Pedra (Universidade de São Paulo)
DTSTART:20201117T151500Z
DTEND:20201117T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/16
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/16/">Large Deviations for Weakly Interacting Fermions at Equilibrium - A
 n Approach to Macroscopic Behavior at Nanoscales</a>\nby Walter de Siqueir
 a Pedra (Universidade de São Paulo) as part of Munich-Copenhagen-Santiago
  Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dirk Hundertmark (Karlsruhe Institute of Technology)
DTSTART:20201124T151500Z
DTEND:20201124T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/17
DESCRIPTION:by Dirk Hundertmark (Karlsruhe Institute of Technology) as par
 t of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: 
 TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos Roman (Pontificia Universidad Catolica de Chile)
DTSTART:20201201T151500Z
DTEND:20201201T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/18
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/18/">On the 3D Ginzburg-Landau model of superconductivity.</a>\nby Carlo
 s Roman (Pontificia Universidad Catolica de Chile) as part of Munich-Copen
 hagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gianluca Panati ("La Sapienza" University of Rome)
DTSTART:20201208T151500Z
DTEND:20201208T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/19
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/19/">An adiabatic approach to spin transport in insulators</a>\nby Gianl
 uca Panati ("La Sapienza" University of Rome) as part of Munich-Copenhagen
 -Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Torben Krüger (University of Copenhagen)
DTSTART:20201215T151500Z
DTEND:20201215T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/20
DESCRIPTION:by Torben Krüger (University of Copenhagen) as part of Munich
 -Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Seiringer (IST Austria)
DTSTART:20210413T141500Z
DTEND:20210413T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/21
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/21/">The quantum Heisenberg model at low temperature</a>\nby Robert Seir
 inger (IST Austria) as part of Munich-Copenhagen-Santiago Mathematical Phy
 sics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julien Sabin (École Polytechnique)
DTSTART:20210420T141500Z
DTEND:20210420T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/22
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/22/">Weyl laws for singular potentials</a>\nby Julien Sabin (École Poly
 technique) as part of Munich-Copenhagen-Santiago Mathematical Physics semi
 nar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hanne van den Bosch (Universidad de Chile)
DTSTART:20210427T141500Z
DTEND:20210427T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/23
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/23/">Spectral Stability in the nonlinear Dirac equation with Soler-type 
 nonlinearity</a>\nby Hanne van den Bosch (Universidad de Chile) as part of
  Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\
 n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arianna Giunti (Imperial College London)
DTSTART:20210504T141500Z
DTEND:20210504T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/24
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/24/">Edge states for magnetic Schrödinger operators in domains with com
 pact boundary</a>\nby Arianna Giunti (Imperial College London) as part of 
 Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolas Rougerie (ENS Lyon)
DTSTART:20210511T141500Z
DTEND:20210511T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/25
DESCRIPTION:by Nicolas Rougerie (ENS Lyon) as part of Munich-Copenhagen-Sa
 ntiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Müller (LMU\, Munich)
DTSTART:20210518T141500Z
DTEND:20210518T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/26
DESCRIPTION:by Peter Müller (LMU\, Munich) as part of Munich-Copenhagen-S
 antiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeffrey Galkowski (UCL)
DTSTART:20210525T141500Z
DTEND:20210525T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/27
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/27/">Geodesic beams and Weyl remainders</a>\nby Jeffrey Galkowski (UCL) 
 as part of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbst
 ract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Loss (Georgia Tech)
DTSTART:20210601T141500Z
DTEND:20210601T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/28
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/28/">Approach to equilibrium in the Kac model</a>\nby Michael Loss (Geor
 gia Tech) as part of Munich-Copenhagen-Santiago Mathematical Physics semin
 ar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giulia Basti (GSSI (Italy))
DTSTART:20210608T141500Z
DTEND:20210608T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/29
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/29/">A new second order upper bound for the ground state energy of dilut
 e Bose gases</a>\nby Giulia Basti (GSSI (Italy)) as part of Munich-Copenha
 gen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernard Helffer (Université de Nantes)
DTSTART:20210615T141500Z
DTEND:20210615T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/30
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/30/">Semi-classical edge states for the Robin Laplacian (after Helffer-K
 achmar)</a>\nby Bernard Helffer (Université de Nantes) as part of Munich-
 Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arnaud Triay (LMU\, Munich)
DTSTART:20211108T151500Z
DTEND:20211108T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/31
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/31/">The condensation of a trapped dilute Bose gas with three-body inter
 actions</a>\nby Arnaud Triay (LMU\, Munich) as part of Munich-Copenhagen-S
 antiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miguel Ballesteros (UNAM\, Mexico)
DTSTART:20211115T151500Z
DTEND:20211115T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/32
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/32/">One-boson scattering processes in the massless Spin-Boson model</a>
 \nby Miguel Ballesteros (UNAM\, Mexico) as part of Munich-Copenhagen-Santi
 ago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Edgardo Stockmeyer (Pontificia Universidad Católica de Chile)
DTSTART:20211122T151500Z
DTEND:20211122T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/33
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/33/">Magnetic Dirac operators on domains in the plane with local boundar
 y conditions</a>\nby Edgardo Stockmeyer (Pontificia Universidad Católica 
 de Chile) as part of Munich-Copenhagen-Santiago Mathematical Physics semin
 ar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chiara Saffirio (University of Basel)
DTSTART:20211129T151500Z
DTEND:20211129T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/34
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/34/">From the many-body fermionic dynamics to the Vlasov equation with s
 ingular interactions.</a>\nby Chiara Saffirio (University of Basel) as par
 t of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: 
 TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Li Chen (University of Mannheim)
DTSTART:20211206T151500Z
DTEND:20211206T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/35
DESCRIPTION:by Li Chen (University of Mannheim) as part of Munich-Copenhag
 en-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Konstantin Merz (TU Braunschweig)
DTSTART:20211213T151500Z
DTEND:20211213T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/36
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/36/">Random Schrödinger operators with complex decaying potentials</a>\
 nby Konstantin Merz (TU Braunschweig) as part of Munich-Copenhagen-Santiag
 o Mathematical Physics seminar\n\n\nAbstract\nEstimating the location and 
 accumulation rate of eigenvalues of Schrödinger operators is a classical 
 problem in spectral theory and mathematical physics. The pioneering work o
 f R. Frank (Bull. Lond. Math. Soc.\, 2011) illustrated the power of Fourie
 r analytic methods - like the uniform Sobolev inequality by Kenig\, Ruiz\,
  and Sogge\, or the Stein-Tomas restriction theorem - in this quest\, when
  the potential is non-real and has "short range".\n\nRecently S. Bögli an
 d J.-C. Cuenin (arXiv:2109.06135) showed that Frank's "short-range" condit
 ion is in fact optimal\, thereby disproving a conjecture by A. Laptev and 
 O. Safronov (Comm. Math. Phys.\, 2009) concerning Keller-Lieb-Thirring-typ
 e estimates for eigenvalues of Schrödinger operators with complex potenti
 als.\n\nIn this talk\, we estimate complex eigenvalues of continuum random
  Schrödinger operators of Anderson type. Our analysis relies on methods o
 f J. Bourgain (Discrete Contin. Dyn. Syst.\, 2002\, Lecture Notes in Math.
 \, 2003) related to almost sure scattering for random lattice Schrödinger
  operators\, and allows us to consider potentials which decay almost twice
  as slowly as in the deterministic case.\n\nThe talk is based on joint wor
 k with Jean-Claude Cuenin.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Hislop (University of Kentucky)
DTSTART:20211220T151500Z
DTEND:20211220T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/37
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/37/">Random band matrices in the localization regime</a>\nby Peter Hislo
 p (University of Kentucky) as part of Munich-Copenhagen-Santiago Mathemati
 cal Physics seminar\n\n\nAbstract\nThe problem of determining the local ei
 genvalue statistics (LES) for one-dimensional random band matrices (RBM) w
 ill be discussed with an emphasis on the localization regime. RBM are real
  symmetric $(2N+1)\\times(2N+1)$ matrices with nonzero entries in a band o
 f width $2N\\alpha+1$ about the diagonal\, for $0\\leq \\alpha \\leq 1$. T
 he nonzero entries are independent\, identically distributed random variab
 les. It is conjectured that as $N\\rightarrow \\infty$ and for $0\\leq \\a
 lpha <\\frac{1}{2}$\, the LES is a Poisson point process\, whereas for $\\
 frac{1}{2}<α≤1$\, the LES is the same as that for the Gaussian Orthogon
 al Ensemble. This corresponds to a phase transition from a localized to a 
 delocalized state as α passes through $\\frac{1}{2}$. In recent works wit
 h B. Brodie and with M. Krishna\, we have made progress in proving this co
 njecture for $0\\leq \\alpha <\\frac{1}{2}$.\nSome of the results by other
 s for the delocalized state with $\\frac{1}{2}<\\alpha≤1$\nwill also be 
 described.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sven Bachmann (University of British Columbia)
DTSTART:20220425T141500Z
DTEND:20220425T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/38
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/38/">Stability of the ground state under large perturbations at the boun
 dary</a>\nby Sven Bachmann (University of British Columbia) as part of Mun
 ich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ayman Kachmar (Lebanese University)
DTSTART:20220502T141500Z
DTEND:20220502T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/39
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/39/">Magnetic edge and semiclassical eigenvalue asymptotics</a>\nby Ayma
 n Kachmar (Lebanese University) as part of Munich-Copenhagen-Santiago Math
 ematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gunther Uhlmann (University of Washington)
DTSTART:20220509T141500Z
DTEND:20220509T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/40
DESCRIPTION:by Gunther Uhlmann (University of Washington) as part of Munic
 h-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sylvia Serfaty (NYU\, Courant)
DTSTART:20220516T141500Z
DTEND:20220516T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/41
DESCRIPTION:by Sylvia Serfaty (NYU\, Courant) as part of Munich-Copenhagen
 -Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Gontier (CEREMADE\, Université Paris-Dauphine)
DTSTART:20220523T141500Z
DTEND:20220523T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/42
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/42/">Spectral properties of half-periodic materials</a>\nby David Gontie
 r (CEREMADE\, Université Paris-Dauphine) as part of Munich-Copenhagen-San
 tiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sabine Bögli (Durham University)
DTSTART:20220530T141500Z
DTEND:20220530T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/43
DESCRIPTION:by Sabine Bögli (Durham University) as part of Munich-Copenha
 gen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simona Rota Nodari (Université Côte d'Azur)
DTSTART:20220613T141500Z
DTEND:20220613T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/44
DESCRIPTION:by Simona Rota Nodari (Université Côte d'Azur) as part of Mu
 nich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Phan Thành Nam (LMU\, Munich)
DTSTART:20220620T141500Z
DTEND:20220620T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/45
DESCRIPTION:by Phan Thành Nam (LMU\, Munich) as part of Munich-Copenhagen
 -Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benjamin Schlein (Universität Zürich)
DTSTART:20221017T141500Z
DTEND:20221017T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/46
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/46/">Ground state energy of a gas of hard spheres in the Gross-Pitaevski
 i regime</a>\nby Benjamin Schlein (Universität Zürich) as part of Munich
 -Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Levitin (University of Reading)
DTSTART:20221024T141500Z
DTEND:20221024T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/47
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/47/">Pólya’s conjecture for the disk: a computer-assisted proof</a>\n
 by Michael Levitin (University of Reading) as part of Munich-Copenhagen-Sa
 ntiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Clotilde Fermanian-Kammerer (Université Paris-Est Créteil))
DTSTART:20221107T151500Z
DTEND:20221107T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/48
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/48/">Separation of scales: Dynamical approximations for composite quantu
 m systems</a>\nby Clotilde Fermanian-Kammerer (Université Paris-Est Crét
 eil)) as part of Munich-Copenhagen-Santiago Mathematical Physics seminar\n
 \nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Esteban Cárdenas (University of Texas at Austin)
DTSTART:20221114T151500Z
DTEND:20221114T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/49
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/49/">Tracer particles interacting with a boson field</a>\nby Esteban Cá
 rdenas (University of Texas at Austin) as part of Munich-Copenhagen-Santia
 go Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michele Correggi (Politecnico di Milano)
DTSTART:20221121T151500Z
DTEND:20221121T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/50
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/50/">Schrödinger Operators with Aharonov-Bohm Fluxes</a>\nby Michele Co
 rreggi (Politecnico di Milano) as part of Munich-Copenhagen-Santiago Mathe
 matical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amanda Young (TU München)
DTSTART:20221128T151500Z
DTEND:20221128T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/51
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/51/">A bulk gap in the presence of edge states for a truncated Haldane p
 seudopotential</a>\nby Amanda Young (TU München) as part of Munich-Copenh
 agen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yaiza Canzani (University of North Carolina at Chapel Hill)
DTSTART:20221205T151500Z
DTEND:20221205T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/52
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/52/">Counting closed geodesics and improving Weyl’s law for predominan
 t sets of metrics</a>\nby Yaiza Canzani (University of North Carolina at C
 hapel Hill) as part of Munich-Copenhagen-Santiago Mathematical Physics sem
 inar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pavel Exner (Doppler Institute for Mathematical Physics and Applie
 d Mathematics\, Prague)
DTSTART:20221212T151500Z
DTEND:20221212T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/53
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/53/">Time-reversal asymmetric quantum graphs</a>\nby Pavel Exner (Dopple
 r Institute for Mathematical Physics and Applied Mathematics\, Prague) as 
 part of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstrac
 t: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hynek Kovařík (Università degli studi di Brescia)
DTSTART:20221219T151500Z
DTEND:20221219T161500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/54
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/54/">Threshold resonances induced by spin</a>\nby Hynek Kovařík (Unive
 rsità degli studi di Brescia) as part of Munich-Copenhagen-Santiago Mathe
 matical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessandro Giuliani (Università degli Studi Roma Tre)
DTSTART:20230417T141500Z
DTEND:20230417T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/55
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/55/">Low temperature asymptotic expansion for classical O(N) vector mode
 ls</a>\nby Alessandro Giuliani (Università degli Studi Roma Tre) as part 
 of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TB
 A\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chiara Boccato (Università degli Studi di Milano)
DTSTART:20230424T141500Z
DTEND:20230424T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/56
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/56/">Ground state properties of the dilute Bose gas</a>\nby Chiara Bocca
 to (Università degli Studi di Milano) as part of Munich-Copenhagen-Santia
 go Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mikael Persson Sundqvist (Lund University)
DTSTART:20230508T141500Z
DTEND:20230508T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/57
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/57/">Counting negative eigenvalues of the Neumann Pauli Operator in boun
 ded domains</a>\nby Mikael Persson Sundqvist (Lund University) as part of 
 Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luis Vega (BCAM Basque Center for Applied Mathematics)
DTSTART:20230515T141500Z
DTEND:20230515T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/58
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/58/">Fluctuations of δ -moments for the free Schrödinger Equation</a>\
 nby Luis Vega (BCAM Basque Center for Applied Mathematics) as part of Muni
 ch-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Madsen (LMU Munich)
DTSTART:20230522T141500Z
DTEND:20230522T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/59
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/59/">The local density approximation in classical density functional the
 ory.</a>\nby Peter Madsen (LMU Munich) as part of Munich-Copenhagen-Santia
 go Mathematical Physics seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nalini Anantharaman (Université de Strasbourg and Collège de Fra
 nce)
DTSTART:20230612T141500Z
DTEND:20230612T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/60
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/60/">The bottom of the spectrum of random hyperbolic surfaces</a>\nby Na
 lini Anantharaman (Université de Strasbourg and Collège de France) as pa
 rt of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract:
  TBA\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lukas Schimmer (Loughborough University)
DTSTART:20230619T141500Z
DTEND:20230619T151500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/61
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/61/">Spectral inequalities for Jacobi operators as conjectured by Hunder
 tmark and Simon</a>\nby Lukas Schimmer (Loughborough University) as part o
 f Munich-Copenhagen-Santiago Mathematical Physics seminar\n\nAbstract: TBA
 \n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Hainzl (LMU\, Germany)
DTSTART:20231023T121500Z
DTEND:20231023T131500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/62
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/62/">The LHY-formula for positive temperature Bose gases</a>\nby Christi
 an Hainzl (LMU\, Germany) as part of Munich-Copenhagen-Santiago Mathematic
 al Physics seminar\n\n\nAbstract\nWe consider a low density Bose gas inter
 acting through a repulsive potential in the thermodynamic limit. We justif
 y\, using upper and lower bounds\, a Lee-Huang-Yang type formula for the f
 ree energy at suitably low temperatures. This is joint work with F. Haberb
 erger\, P. T. Nam\, B. Schlein\, R. Seiringer and A. Triay.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giovanna Marcelli (Aalborg University\, Denmark)
DTSTART:20231030T131500Z
DTEND:20231030T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/63
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/63/">Adiabatic evolution of low-temperature many-body quantum systems</a
 >\nby Giovanna Marcelli (Aalborg University\, Denmark) as part of Munich-C
 openhagen-Santiago Mathematical Physics seminar\n\n\nAbstract\nWe consider
  finite-range\, many-body fermionic lattice models and we study the evolut
 ion of their thermal equilibrium state after introducing a weak and slowly
  varying time-dependent perturbation. Under suitable assumptions on the ex
 ternal driving\, we derive a representation for the average of the evoluti
 on of local observables via a convergent expansion in the perturbation\, f
 or small enough temperatures. Convergence holds for a range of parameters 
 that is uniform in the size of the system. Under a spectral gap assumption
  on the unperturbed Hamiltonian\, convergence is also uniform in temperatu
 re. As an application\, our expansion allows us to prove closeness of the 
 time-evolved state to the instantaneous Gibbs state of the perturbed syste
 m\, in the sense of expectation of local observables\, at zero and at smal
 l temperatures. Our strategy is based on a rigorous version of the Wick ro
 tation and fermionic cluster expansion.\nThis talk is based on a joint wor
 k with R. L. Greenblatt\, M. Lange and M. Porta.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Søren Mikkelsen (University of Bath)
DTSTART:20231106T131500Z
DTEND:20231106T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/64
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/64/">Sharp semiclassical spectral asymptotics</a>\nby Søren Mikkelsen (
 University of Bath) as part of Munich-Copenhagen-Santiago Mathematical Phy
 sics seminar\n\n\nAbstract\nIn this talk we will discuss sharp semiclassic
 al spectral asymptotics for differential operators\, where the coefficient
 s are not smooth. Usually\, such results are proven using the theory of ps
 eudo-differential operators. This theory is unfortunately not directly app
 licable\, when we do not assume smoothness of the coefficients. How do we 
 then obtain sharp semiclassical spectral asymptotics? The main focus of th
 is talk will be to present the ideas in the proof of sharp semiclassical s
 pectral asymptotics.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Morris Brooks (University of Zürich)
DTSTART:20231113T131500Z
DTEND:20231113T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/65
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/65/">Diagonalization of dilute quantum gases</a>\nby Morris Brooks (Univ
 ersity of Zürich) as part of Munich-Copenhagen-Santiago Mathematical Phys
 ics seminar\n\n\nAbstract\nIn this talk I present an elementary derivation
  of the celebrated  Lee-Huang-Yang formula for Bose gases in the Gross-Pit
 aevskii Regime\, which unifies various approaches that have been developed
  in recent years. While it is possible to generalize this method in variou
 s ways\, for example we assume well known bounds on the number of excited 
 particles that could be derived in a self contained way\, we will focus on
  the simplest possible case in order to highlight the conceptual novelties
 .\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Brennecke (University of Bonn)
DTSTART:20231120T131500Z
DTEND:20231120T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/66
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/66/">Operator Norm Bounds on the Correlation Matrix of the SK Model</a>\
 nby Christian Brennecke (University of Bonn) as part of Munich-Copenhagen-
 Santiago Mathematical Physics seminar\n\n\nAbstract\nIn this talk I will r
 eview basic predictions for the high temperature regime\, the so called re
 plica symmetric regime\, of the Sherrington-Kirkpatrick mean field spin gl
 ass. I will recall the TAP equations\, their derivation and their validity
  in connection with the decay of the two point correlation functions. For 
 the simplified case of vanishing external field\, I will present some deta
 ils on recent results that characterize the susceptibility of the model as
  a resolvent of the interaction matrix\, which predicts in a simple way th
 e (well-known) RS-RSB transition temperature. The talk is based on joint w
 ork with Adrien Schertzer\, Changji Xu and Horng-Tzer Yau.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Larry Read (LMU\, Germany)
DTSTART:20231127T131500Z
DTEND:20231127T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/67
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/67/">Negative spectrum of Schrödinger operators with oscillating potent
 ials</a>\nby Larry Read (LMU\, Germany) as part of Munich-Copenhagen-Santi
 ago Mathematical Physics seminar\n\n\nAbstract\nFor classical Schrödinger
  operators\, the decay of the potential towards infinity determines the fi
 niteness of its negative spectrum. In the particular case where it is asym
 ptotically homogeneous of degree -2\, the size of the coupling distinguish
 es between the generation of finitely or infinitely many negative eigenval
 ues. In this talk I will show that a similar property holds for a family o
 f potentials which oscillate at infinity with slower decay.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arne Jensen (Aalborg University\, Denmark)
DTSTART:20231204T131500Z
DTEND:20231204T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/68
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/68/">On the continuum limit of discrete Schrödinger operators</a>\nby A
 rne Jensen (Aalborg University\, Denmark) as part of Munich-Copenhagen-San
 tiago Mathematical Physics seminar\n\n\nAbstract\nWe consider Schrödinger
  operators\, or more generally\nperturbations of a class of Fourier multip
 liers\, in the continuous\nsetting\, and in the discrete setting on a squa
 re lattice with mesh size h.\nThe discrete operators converge to the conti
 nuous ones as the mesh size\ntends to zero\, in a generalized resolvent se
 nse. \nExplicit convergence rates are obtained. \nWe present some spectral
  consequences of these convergence results.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/68/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Pushnitski (King's College London)
DTSTART:20231211T131500Z
DTEND:20231211T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/69
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/69/">Hankel operators with band spectra and elliptic functions</a>\nby A
 lexander Pushnitski (King's College London) as part of Munich-Copenhagen-S
 antiago Mathematical Physics seminar\n\n\nAbstract\nI will discuss spectra
 l properties of bounded self-adjoint Hankel operators H\, realised as inte
 gral operators on the positive semi-axis\, that commute with dilations by 
 a fixed factor. In analogy with the spectral theory of periodic Schroeding
 er operators\, the Hankel operators H of this class admit the Floquet-Bloc
 h decomposition\, which represents H as a direct integral of certain compa
 ct fiber operators. As a consequence\, operators H have band spectra (the 
 spectrum of H is the union of disjoint intervals). A striking feature of t
 his model is that flat bands (i.e. intervals degenerating into points\, wh
 ich are eigenvalues of infinite multiplicity) may co-exist with non-flat b
 ands\; I will discuss some simple explicit examples of this nature. Key to
  the spectral analysis of this class of Hankel operator is the theory of e
 lliptic functions\; I will explain this connection. This is joint work wit
 h Alexander Sobolev (University College London). ArXiv link: https://arxiv
 .org/pdf/2307.09242.pdf\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Constanza Rojas Molina (CY Cergy Paris Université)
DTSTART:20231218T131500Z
DTEND:20231218T141500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/70
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/70/">The long-range Anderson model with weakly decaying off-diagonal ter
 ms</a>\nby Constanza Rojas Molina (CY Cergy Paris Université) as part of 
 Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\nAbstract\nWe 
 review results on the localization properties and eigenvalue statistics\no
 f long-range Anderson models in the discrete setting. This includes the\nf
 ractional Anderson model\, a long-range operator with polynomially decayin
 g\noff-diagonal terms\, and diagonal randomness. We discuss the effects of
 \nnon-locality on the localization properties of the model\, in particular
 \, on\ndynamical localization. The interest in these models lies in their\
 nassociation to stable Levy processes\, random walks with long jumps and\n
 anomalous diffusion.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Léo Morin (University of Copenhagen)
DTSTART:20240422T121500Z
DTEND:20240422T131500Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/71
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/71/">Quantum tunneling with magnetic field</a>\nby Léo Morin (Universit
 y of Copenhagen) as part of Munich-Copenhagen-Santiago Mathematical Physic
 s seminar\n\n\nAbstract\nDuring this talk I will present a tunneling formu
 la for a 2D Schrödinger operator with a symmetric double-well potential a
 nd homogeneous magnetic field. We measure the interaction between the two 
 wells\, and observe a new purely magnetic effect. We obtain an asymptotic 
 formula for the spectral gap\, which is exponentially small in the semicla
 ssical limit.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Larson (University of Gothenburg)
DTSTART:20240429T131500Z
DTEND:20240429T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/72
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/72/">On a Hardy-Morrey inequality</a>\nby Simon Larson (University of Go
 thenburg) as part of Munich-Copenhagen-Santiago Mathematical Physics semin
 ar\n\n\nAbstract\nIn this talk I will discuss a Hardy-type inequality on d
 omains in Euclidean space. In particular\, we will be interested in how sh
 arp constants depend on the underlying geometry and whether or not extrema
 ls exist.\nThis is joint work with Ryan Hynd (UPenn) and Erik Lindgren (KT
 H).\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Dall'Acqua (Ulm)
DTSTART:20240506T131500Z
DTEND:20240506T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/73
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/73/">Unwinding an elastic wire</a>\nby Anna Dall'Acqua (Ulm) as part of 
 Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\nAbstract\nIn 
 the Bernoulli model of an elastic rod described by a curve the elastic ene
 rgy is given by the integral over the curve of the square of the curvature
 . In the talk we first present this energy and its minimizers in different
  situations. Then we consider the dynamic problem given by the steepest de
 scent flow. We discuss a general approach to prove long time existence of 
 solutions and their asymptotic behavior in different geometries. At the en
 d\, we discuss consequences for the Willmore flow of surfaces of revolutio
 n.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Severin Schraven (TU Munich)
DTSTART:20240527T131500Z
DTEND:20240527T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/74
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/74/">Two-sided Lieb-Thirring Bounds</a>\nby Severin Schraven (TU Munich)
  as part of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\nA
 bstract\nWe discuss upper and lower bounds for the number of eigenvalues o
 f semi-bounded Schrödinger\noperators in all spatial dimensions. For atom
 ic Hamiltonians with Kato potentials one can\nstrengthen the result to obt
 ain two-sided estimates for the sum of the negative eigenvalues.\nInstead 
 of being in terms of the potential itself\, as in the usual Lieb-Thirring 
 result\, the bounds\nare in terms of the landscape function\, also known a
 s the torsion function\, which is a solution\nof $(−\\Delta + V +M)u_M =
  1$ in ${\\mathbb R}^d$\; here $M \\in {\\mathbb R}$ is chosen so that the
  operator is positive.\nThis talk is based on the preprint arXiv:2403.1902
 3 which is joint work with S. Bachmann\nand R. Froese.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristina Caraci (Universität Zürich)
DTSTART:20240603T131500Z
DTEND:20240603T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/75
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/75/">Third order corrections to the ground state energy of a Bose gas in
  the Gross-Pitaevskii regime.</a>\nby Cristina Caraci (Universität Züric
 h) as part of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\
 nAbstract\nWe consider a system of N bosons confined in a unit box with pe
 riodic boundary conditions. We assume that the particles interact through 
 a repulsive two-body potential with scattering length of order 1/N\, i.e. 
 the Gross-Pitaevskii regime. We establish a precise bound for the ground s
 tate energy E(N) of the system. While the leading contribution\, of order 
 N\, to the energy has been known since the pioneering works of Lieb-Seirin
 ger-Yngvason in the early 2000s\, and the second order (of order one) corr
 ections were more recently first determined by Boccato-Brennecke-Cenatiemp
 o-Schlein\, our estimate also resolves the next term in the asymptotic exp
 ansion of E(N)\, which is of the order (log N)/N\, confirming Wu’s predi
 ctions in 1959.\n\nBased on a joint work with Alessandro Olgiati\, Diane S
 aint Aubin and Benjamin Schlein.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Maspero (SISSA)
DTSTART:20240610T131500Z
DTEND:20240610T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/76
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/76/">Full description of Benjamin-Feir instability of Stokes waves</a>\n
 by Alberto Maspero (SISSA) as part of Munich-Copenhagen-Santiago Mathemati
 cal Physics seminar\n\n\nAbstract\nStokes waves\, which are small amplitud
 e space periodic solutions of the gravity water waves\, are unstable to lo
 ng-wave perturbations\, as Benjamin and Feir predicted in 1967. \n\nIn thi
 s talk I will describe a series of recent results that fully describe the 
 spectrum of the linearized operator at a Stokes wave\, both near the origi
 n – proving that such spectrum depicts a complete “figure 8” – and
  away from the origin – proving the existence of isolas of instability.\
 nThis is based on a series of works with  M. Berti\, L. Corsi and  P. Vent
 ura.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonid Parnovski (UCL)
DTSTART:20240617T131500Z
DTEND:20240617T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/77
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/77/">Spectral asymptotics for the Schrödinger operator with bounded\, u
 nstructured potentials.</a>\nby Leonid Parnovski (UCL) as part of Munich-C
 openhagen-Santiago Mathematical Physics seminar\n\n\nAbstract\nHigh energy
  spectral asymptotics for Schrödinger operators on compact manifolds have
  been well studied since the early 1900s and it is now well known that the
 y are intimately related to the structure of periodic geodesics. In this t
 alk\, we discuss analogous questions for Schrödinger operators on $R^d$ w
 ith potentials bounded together with all their derivatives. Since the geod
 esic flow on $R^d$ has no periodic trajectories (or indeed looping traject
 ories) one might guess that the spectral projector has a complete asymptot
 ic expansion in powers of the spectral parameter. We show that when $d=1$\
 , this is indeed the case. When $d=2$\, we give a large class of potential
 s whose spectral projectors have complete asymptotics. Nevertheless\, in $
 d\\ge 2$\, we construct examples where complete asymptotics fails. \nBased
  on joint work with J. Galkowski and R. Shterenberg\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:August Bjerg (University of Copenhagen)
DTSTART:20240513T131500Z
DTEND:20240513T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/78
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/78/">A short proof of a strong Weyl law in dimension 1</a>\nby August Bj
 erg (University of Copenhagen) as part of Munich-Copenhagen-Santiago Mathe
 matical Physics seminar\n\n\nAbstract\nWe will consider the Dirichlet real
 ization of a Schrödinger operator on a bounded interval and with a contin
 uous potential\, and discuss a slightly non-standard formulation of the as
 sociated Weyl law. Instead of studying only the number of negative eigenva
 lues\, we ask: When exactly does the eigenvalue counting function change i
 ts value? For a particular class of potentials we provide an asymptotic an
 swer to this question which is *not* a consequence of the usual Weyl law (
 while the usual Weyl law for the number of negative eigenvalues does follo
 w from our result). If time allows\, we will suggest how we at this point 
 in time believe similar results in more general setups would have to look.
  \nBased on arxiv.org/abs/2403.05137.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/78/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonid Parnovski (UCL\, London)
DTSTART:20241029T131500Z
DTEND:20241029T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/79
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/79/">Classical spectral asymptotics with a modern twist</a>\nby Leonid P
 arnovski (UCL\, London) as part of Munich-Copenhagen-Santiago Mathematical
  Physics seminar\n\n\nAbstract\nThe existence of spectral asymptotics of L
 aplace or Schroedinger operators acting on Riemannian manifolds is a class
 ical problem known for more than 100 years. It has ben known for a long ti
 me that obstacles to the existence of spectral asymptotic expansions are p
 eriodic and looping trajectories of the geodesic flow. A conjecture formul
 ated in 2016 stated that these trajectories are the only such obstacles. I
  will discuss the history of this problem and describe the resent progress
 : proving this conjecture in special cases\, as well as constructing some 
 counterexamples.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/79/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vojkan Jaksic (McGill)
DTSTART:20241105T131500Z
DTEND:20241105T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/80
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/80/">Some remarks on entropy production in quantum statistical mechanics
 .</a>\nby Vojkan Jaksic (McGill) as part of Munich-Copenhagen-Santiago Mat
 hematical Physics seminar\n\n\nAbstract\nI will review quantum mechanical 
 entropic notions that play a role in the recent series of papers (joint wo
 rk with T. Benoist\, L. Bruneau\, A. Panati\, C-A. Pillet)\n\n1.A note on 
 two-times measurement entropy production and modular theory \nhttps://arxi
 v.org/abs/2310.10582\n\n2. On the thermodynamic limit of two-times measure
 ment entropy production https://arxiv.org/abs/2402.09380\n\n3. Entropic Fl
 uctuations in Statistical Mechanics II. Quantum Dynamical Systems https://
 arxiv.org/abs/2409.15485\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/80/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lea Bossmann (FAU Erlangen-Nürnberg)
DTSTART:20241112T131500Z
DTEND:20241112T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/81
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/81/">Focusing dynamics for 2d Bose gases in the instability regime</a>\n
 by Lea Bossmann (FAU Erlangen-Nürnberg) as part of Munich-Copenhagen-Sant
 iago Mathematical Physics seminar\n\n\nAbstract\nWe consider the dynamics 
 of a 2d Bose gas with singular attractive interactions in the instability 
 regime\, where the corresponding focusing nonlinear Schrödinger equation 
 (NLS) has a blow-up. We show that the evolution of the condensate is effec
 tively described by this NLS for all times before the blow-up. Moreover\, 
 we prove the validity of the Bogoliubov approximation for the fluctuation 
 dynamics\, resulting in a norm approximation of the many-body dynamics. Th
 is is joint work with Charlotte Dietze and Phan Thành Nam.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/81/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Loïc Le Treust (Aix-Marseille)
DTSTART:20241119T131500Z
DTEND:20241119T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/82
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/82/">Magnetic Dirac Operator in Strips Subjected to Strong Magnetic Fiel
 ds</a>\nby Loïc Le Treust (Aix-Marseille) as part of Munich-Copenhagen-Sa
 ntiago Mathematical Physics seminar\n\n\nAbstract\nWe consider the magneti
 c Dirac operator on a curved strip whose boundary carries the infinite mas
 s boundary condition. When the magnetic field is large\, we provide the re
 ader with accurate estimates of the essential and discrete spectra. In par
 ticular\, we give sufficient conditions ensuring that the discrete spectru
 m is non-empty. This is a joint work with Julien Royer from Toulouse III U
 niversity and Nicolas Raymond from Angers University.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/82/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thiago Carvalho Corso (Stuttgart)
DTSTART:20241126T131500Z
DTEND:20241126T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/83
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/83/">Improvements on the Lieb-Thirring and Cwikel-Lieb-Rozenblum bounds 
 via a three lines lemma</a>\nby Thiago Carvalho Corso (Stuttgart) as part 
 of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\nAbstract\n
 In this talk I will present some recent improvements [1\,2] on the best-kn
 own upper bounds for the optimal constants in the Lieb-Thirring (LT) and C
 wikel-Lieb-Rozenblum (CLR) inequalities. These improvements were obtained 
 by explicitly solving an interesting family of variational problems\, whos
 e connection with the LT and CLR inequalities has recently been establishe
 d in [3] and [4]\, respectively. To obtain the explicit solutions\, we fir
 st reformulate these variational problems as an interpolation-like inequal
 ity along three parallel lines in the complex plane\, for certain spaces o
 f holomorphic functions. We then explicitly compute the optimizers for the
 se interpolation inequalities by combining some techniques of complex\, Fo
 urier\, and convex analysis.\n\n\nReferences:\n[1] Corso and Ried - On a v
 ariational problem related to the Cwikel-LiebRozenblum and Lieb-Thirring i
 nequalities\n- https://arxiv.org/abs/2403.04347\n[2] Corso - A generalized
  three lines lemma in Hardy-like spaces\n- https://arxiv.org/abs/2407.1011
 7\n[3] Frank\, Hundertmark\, Jex\, and Nam - The Lieb-Thirring inequality 
 revisited\n- https://ems.press/journals/jems/articles/666342\n[4] Hundertm
 ark\, Kunstmann\, Ried\, and Vugalter - Cwikel’s bound reloaded\n- https
 ://link.springer.com/article/10.1007/s00222-022-01144-7\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/83/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcin Napiorkowski (Warsaw)
DTSTART:20241203T131500Z
DTEND:20241203T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/84
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/84/">The Bogoliubov-Bose-Hubbard model: existence of minimizers and phas
 e transition</a>\nby Marcin Napiorkowski (Warsaw) as part of Munich-Copenh
 agen-Santiago Mathematical Physics seminar\n\n\nAbstract\nWe consider a va
 riational approach to the Bose-Hubbard model based on Bogoliubov theory. W
 e introduce the grand canonical and canonical free energy functional for w
 hich we prove the existence of minimizers. By analyzing their structure we
  show the existence of a superfluid-Mott insulator phase transition at pos
 itive temperatures. In particular\, we show that this model does not exhib
 it a quantum phase transition. Based on joint work with Norbert Mokrzańsk
 i.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/84/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laura Monk (Bristol)
DTSTART:20241210T131500Z
DTEND:20241210T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/85
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/85/">Typical hyperbolic surfaces have an optimal spectral gap</a>\nby La
 ura Monk (Bristol) as part of Munich-Copenhagen-Santiago Mathematical Phys
 ics seminar\n\n\nAbstract\nThe first non-zero Laplace eigenvalue of a hype
 rbolic surface\, or its spectral gap\, measures how well-connected the sur
 face is: surfaces with a large spectral gap are hard to cut in pieces\, ha
 ve a small diameter and fast mixing times. For large hyperbolic surfaces (
 of large area or large genus g\, equivalently)\, we know that the spectral
  gap is asymptotically bounded above by 1/4. The aim of this talk is to pr
 esent an upcoming article\, joint with Nalini Anantharaman\, where we prov
 e that most hyperbolic surfaces have a near-optimal spectral gap. That is 
 to say\, we prove that\, for any ε>0\, the Weil-Petersson probability for
  a hyperbolic surface of genus g to have a spectral gap greater than 1/4-
 ε goes to one as g goes to infinity. This statement is analogous to Alon
 ’s 1986 conjecture for regular graphs\, proven by Friedman in 2003. I wi
 ll present our approach\, which shares many similarities with Friedman’s
  work\, and introduce new tools and ideas that we have developed in order 
 to tackle this problem.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/85/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeremy Faupin (Lorraine)
DTSTART:20241217T131500Z
DTEND:20241217T140000Z
DTSTAMP:20260404T110747Z
UID:MAS-MP/86
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/MAS-M
 P/86/">On the number of bound states for the fractional Schrödinger opera
 tor with a super-critical exponent</a>\nby Jeremy Faupin (Lorraine) as par
 t of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\nAbstract
 \nWe will consider in this talk the number of negative eigenvalues $N_{<0}
 (H_s)$ of the fractional Schrödinger operator $H_s=(-\\Delta)^s-V(x)$ in 
 $L^2(\\mathbb{R}^d)$\, in any dimension $d\\ge 1$ and for any $s>0$. After
  recalling results in the subcritical case $d/2>s$\, including the celebra
 ted Cwikel-Lieb-Rozenblum bounds for dimensions $d\\ge3$ and Bargmann’s 
 estimate in dimension $d=1$\, we will focus on the supercritical case $s\\
 ge d/2$. We will describe bounds on $N_{<0}(H_s)$ depending on $s-d/2$ bei
 ng an integer or not\, the critical case $s=d/2$ requiring a further analy
 sis. This is joint work with Sébastien Breteaux and Viviana Grasselli.\n
LOCATION:https://stable.researchseminars.org/talk/MAS-MP/86/
END:VEVENT
END:VCALENDAR