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SUMMARY:Joseph Avron (Technion)
DTSTART:20210418T150000Z
DTEND:20210418T154500Z
DTSTAMP:20260404T092654Z
UID:Simons75th/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Simon
 s75th/1/">The story of Einstein's most cited paper</a>\nby Joseph Avron (T
 echnion) as part of Barry Simon's 75th Birthday Conference\n\n\nAbstract\n
 Einstein's most cited paper is his 1935 paper with Podolsky and Rosen know
 n as EPR. It initiated the Einstein-Bohr correspondence and fathered entan
 glement. It is a striking example of useless metaphysics evolving into a r
 esource of quantum technology. I shall conclude by describing two of the g
 reat-grandchildren of EPR\, namely\, the GHZ game and Teleportation.\n
LOCATION:https://stable.researchseminars.org/talk/Simons75th/1/
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SUMMARY:Fritz Gesztesy (Baylor University)
DTSTART:20210418T155500Z
DTEND:20210418T164000Z
DTSTAMP:20260404T092654Z
UID:Simons75th/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Simon
 s75th/2/">A general Birman–Schwinger principle and some applications</a>
 \nby Fritz Gesztesy (Baylor University) as part of Barry Simon's 75th Birt
 hday Conference\n\n\nAbstract\nWe prove a generalized Birman–Schwinger p
 rinciple in the non-self-adjoint context and provide a discussion of geome
 tric and algebraic multiplicities of eigenvalues of the basic operator of 
 interest (e.g.\, a Schrödinger operator) and the associated Birman–Schw
 inger operator. Specifically\, we study the associated Jordan chains of ge
 neralized eigenvectors of both operators. We also relate algebraic multipl
 icities to the notion of the index of analytic operator-valued functions a
 nd derive a general Weinstein–Aronszajn formula for a pair of non-self-a
 djoint operators.\n\nThis is based on joint work with Jussi Behrndt and To
 m ter Elst.\n
LOCATION:https://stable.researchseminars.org/talk/Simons75th/2/
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SUMMARY:Michael Aizenman (Princeton)
DTSTART:20210418T165500Z
DTEND:20210418T174000Z
DTSTAMP:20260404T092654Z
UID:Simons75th/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Simon
 s75th/3/">Revisiting the Berezinskii-Kosterlitz-Thouless phase transition<
 /a>\nby Michael Aizenman (Princeton) as part of Barry Simon's 75th Birthda
 y Conference\n\n\nAbstract\nA shortcut is presented for establishing the B
 KT phase transition in the Villain model of two component spins over plana
 r graphs.  The new ingredient is a proof that delocalization of a correspo
 nding Discrete Gaussian Field (DGF)\, defined on the dual lattice at the i
 nverse temperature\, implies directly that for any $\\eta>2$  the Villain 
 model’s spin-spin correlations decay not faster than $1/\\|x-y\\|^{\\eta
 }$.  Combined with the streamlined proof of delocalization transition in t
 he DGF on cubic graphs by P. Lammers this yields a short proof of the BKT 
 transition in the Villain model on the 2D triangular lattice.  \n\n(Joint 
 work with Matan Harel and Jacob Shapiro)\n
LOCATION:https://stable.researchseminars.org/talk/Simons75th/3/
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SUMMARY:Barry Simon (Caltech)
DTSTART:20210418T175000Z
DTEND:20210418T183500Z
DTSTAMP:20260404T092654Z
UID:Simons75th/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Simon
 s75th/4/">The Work of Daniel Wells\, Forty Years Late</a>\nby Barry Simon 
 (Caltech) as part of Barry Simon's 75th Birthday Conference\n\n\nAbstract\
 nIn working on a book I’m writing on “Phase Transitions in the Theory 
 of Lattice Gases”\, I came across an unpublished 1977 thesis of Daniel W
 ells with some beautiful results comparing Ising type models with differen
 t apriori single spin distributions.. I will describe his unpublished work
  as well as some interesting extensions I found to D-component models that
  may be new (they are not in the thesis but may have been in a mystery pre
 print that I have not gotten ahold of!). I’ll also discuss some open pro
 blems.\n
LOCATION:https://stable.researchseminars.org/talk/Simons75th/4/
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