BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Franziska Weber (Carnegie Mellon University) DTSTART:20200421T144500Z DTEND:20200421T154500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/1 DESCRIPTION:Title: Sufficient conditions for flux scaling laws in the stochastic Nav ier-Stokes equations\nby Franziska Weber (Carnegie Mellon University) as part of Leipzig Oberseminar Analysis - Probability\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Alessia Nota (Universität Bonn) DTSTART:20200505T144500Z DTEND:20200505T154500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/2 DESCRIPTION:Title: Long-time asymptotics for homoenergetic solutions of the Boltzman n equation\nby Alessia Nota (Universität Bonn) as part of Leipzig Obe rseminar Analysis - Probability\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Richard Bamler (University of California\, Berkeley) DTSTART:20200602T144500Z DTEND:20200602T154500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/3 DESCRIPTION:Title: Uniqueness of Weak Solutions to the Ricci Flow and Topological Ap plications\nby Richard Bamler (University of California\, Berkeley) as part of Leipzig Oberseminar Analysis - Probability\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Aleksandr Logunov (Princeton University) DTSTART:20200609T131500Z DTEND:20200609T141500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/4 DESCRIPTION:Title: Nodal sets\, quasiconformal mappings and how to apply them to Lan dis’ conjecture\nby Aleksandr Logunov (Princeton University) as part of Leipzig Oberseminar Analysis - Probability\n\n\nAbstract\nA while ago Nadirashvili proposed a beautiful idea how to attack problems on zero sets of Laplace eigenfunctions using quasiconformal mappings\, aiming to estim ate the length of nodal sets (zero sets of eigenfunctions) on closed two-d imensional surfaces. The idea have not yet worked out as it was planned.\n \nHowever it appears to be useful for Landis' Conjecture. We will explain how to apply the combination of quasiconformal mappings and zero sets to q uantitative properties of solutions to $\\Delta u + V u =0$ on the plane\, where $V$ is a real\, bounded function. The method reduces some questions about solutions to Shrodinger equation $\\Delta u + V u =0$ on the plane to questions about harmonic functions.\n\nBased on a joint work with E.Mal innikova\, N.Nadirashvili and F. Nazarov.\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Joaquim Serra (ETH Zürich) DTSTART:20200616T131500Z DTEND:20200616T141500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/5 DESCRIPTION:Title: The singular set in the obstacle problem\nby Joaquim Serra (E TH Zürich) as part of Leipzig Oberseminar Analysis - Probability\n\n\nAbs tract\nThe obstacle problem arises in several important physical models. W e will present some recent work in collaboration with A. Figalli and X. Ro s-Oton on the structure of the singular set for this problem.\n\nWe will s tart introducing some rather recent tools for the analysis of singularitie s in the obstacle problem\, which are complementary to the classical theor y of Caffarelli. These tools exploit a useful connection between singulari ties of the obstacle problem and solutions of the so-called thin obstacle problem.\n\nWith careful enough analysis\, we are able to achieve a precis e understanding of the behavior of solutions near "generic" singularities. \n\nIn particular we prove that the free boundary is generically smooth in dimensions 3 and 4\, while in higher dimensions the singular set has\, ge nerically\, co-dimension 3 inside the free boundary.\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Peter Pickl (LMU Munich) DTSTART:20200623T131500Z DTEND:20200623T141500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/6 DESCRIPTION:Title: Quasiparticles - wholes in the Fermi sea\nby Peter Pickl (LMU Munich) as part of Leipzig Oberseminar Analysis - Probability\n\n\nAbstra ct\nImagine a particle flying through a dense gas\, interacting with the p articles of that gas. Due to the interaction the particle will experience dissipation and fluctuation. Both effects will typically increase as the d ensity goes to infinity.\n\nWhile this is true for a classical gas and als o for Bose gases\, the behaviour is very different for gases of Fermions: A charged particle moving through a Fermi sea of high density behaves almo st like a free particle.\n\nHere the Fermi pressure leads to a suppression of the fluctuations in the gas and eventually a suppression of fluctuatio n and dissipation.\n\nWhile this is easy to prove in one dimension\, the t wo dimensional case is highly non trivial. I will present recent results o n this question.\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Sebastian Schwarzacher (Charles University Prague) DTSTART:20200714T131500Z DTEND:20200714T141500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/7 DESCRIPTION:Title: Higher integrability estimates for parabolic PDEs with fast or sl ow diffusion\nby Sebastian Schwarzacher (Charles University Prague) as part of Leipzig Oberseminar Analysis - Probability\n\n\nAbstract\nIn the talk we discuss some recent results on self-improving properties for gradi ents of solutions for parabolic evolutions with fast or slow diffusion. Th e model case is the porous medium equation. We show how local higher integ rability estimates can be derived via the celebrated Gehring lemma. The es timates rely on a Calderon Zygmund theory that is developed with respect t o an intrinsic metric that depends on the solution\; taking into account t he local speed of the diffusion. The concept turns out to be flexible enou gh to show self-improving properties for large classes of diffusions depen ding on the solution and the gradient.\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Radu Ignat (Université Paul Sabatier & IUF Toulouse) DTSTART:20200721T131500Z DTEND:20200721T141500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/8 DESCRIPTION:Title: Minimality of degree-one Ginzburg-Landau vortex in the unit ball< /a>\nby Radu Ignat (Université Paul Sabatier & IUF Toulouse) as part of L eipzig Oberseminar Analysis - Probability\n\n\nAbstract\nIn this talk\, we will focus on the standard Ginzburg-Landau functional for N-dimensional m aps defined in the unit ball that are equal to the identity on the boundar y. A special critical point is the so-called degree-one vortex map given b y the identity map multiplied with a scalar radial profile. We will prove the minimality of this solution and also discuss about the uniqueness resu lt. This is a joint work with L. Nguyen\, V. Slastikov and A. Zarnescu.\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Charles K. Smart (The University of Chicago) DTSTART:20200728T131500Z DTEND:20200728T141500Z DTSTAMP:20260404T094309Z UID:OSAnaProb/9 DESCRIPTION:Title: Localization and unique continuation on the integer lattice\n by Charles K. Smart (The University of Chicago) as part of Leipzig Obersem inar Analysis - Probability\n\n\nAbstract\nI will discuss recent results o n localization for the Anderson--Bernoulli model. This will include my wor k with Ding as well as work by Li--Zhang. Both develop new unique continua tion results for the Laplacian on the integer lattice.\n LOCATION:https://stable.researchseminars.org/talk/OSAnaProb/9/ END:VEVENT END:VCALENDAR