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SUMMARY:Joseph Avron (Technion)
DTSTART;VALUE=DATE-TIME:20210418T150000Z
DTEND;VALUE=DATE-TIME:20210418T154500Z
DTSTAMP;VALUE=DATE-TIME:20240329T070731Z
UID:Simons75th/1
DESCRIPTION:Title: The story of Einstein's most cited paper\nby Joseph Avron (Technion
) as part of Barry Simon's 75th Birthday Conference\n\n\nAbstract\nEinstei
n's most cited paper is his 1935 paper with Podolsky and Rosen known as EP
R. It initiated the Einstein-Bohr correspondence and fathered entanglement
. It is a striking example of useless metaphysics evolving into a resource
of quantum technology. I shall conclude by describing two of the great-gr
andchildren of EPR\, namely\, the GHZ game and Teleportation.\n
LOCATION:https://researchseminars.org/talk/Simons75th/1/
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SUMMARY:Fritz Gesztesy (Baylor University)
DTSTART;VALUE=DATE-TIME:20210418T155500Z
DTEND;VALUE=DATE-TIME:20210418T164000Z
DTSTAMP;VALUE=DATE-TIME:20240329T070731Z
UID:Simons75th/2
DESCRIPTION:Title: A general Birman–Schwinger principle and some applications\nby Fr
itz Gesztesy (Baylor University) as part of Barry Simon's 75th Birthday Co
nference\n\n\nAbstract\nWe prove a generalized Birman–Schwinger principl
e in the non-self-adjoint context and provide a discussion of geometric an
d algebraic multiplicities of eigenvalues of the basic operator of interes
t (e.g.\, a Schrödinger operator) and the associated Birman–Schwinger o
perator. Specifically\, we study the associated Jordan chains of generaliz
ed eigenvectors of both operators. We also relate algebraic multiplicities
to the notion of the index of analytic operator-valued functions and deri
ve a general Weinstein–Aronszajn formula for a pair of non-self-adjoint
operators.\n\nThis is based on joint work with Jussi Behrndt and Tom ter E
lst.\n
LOCATION:https://researchseminars.org/talk/Simons75th/2/
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SUMMARY:Michael Aizenman (Princeton)
DTSTART;VALUE=DATE-TIME:20210418T165500Z
DTEND;VALUE=DATE-TIME:20210418T174000Z
DTSTAMP;VALUE=DATE-TIME:20240329T070731Z
UID:Simons75th/3
DESCRIPTION:Title: Revisiting the Berezinskii-Kosterlitz-Thouless phase transition\nby
Michael Aizenman (Princeton) as part of Barry Simon's 75th Birthday Confe
rence\n\n\nAbstract\nA shortcut is presented for establishing the BKT phas
e transition in the Villain model of two component spins over planar graph
s. The new ingredient is a proof that delocalization of a corresponding D
iscrete Gaussian Field (DGF)\, defined on the dual lattice at the inverse
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 the DG
F on cubic graphs by P. Lammers this yields a short proof of the BKT trans
ition in the Villain model on the 2D triangular lattice. \n\n(Joint work
with Matan Harel and Jacob Shapiro)\n
LOCATION:https://researchseminars.org/talk/Simons75th/3/
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SUMMARY:Barry Simon (Caltech)
DTSTART;VALUE=DATE-TIME:20210418T175000Z
DTEND;VALUE=DATE-TIME:20210418T183500Z
DTSTAMP;VALUE=DATE-TIME:20240329T070731Z
UID:Simons75th/4
DESCRIPTION:Title: The Work of Daniel Wells\, Forty Years Late\nby Barry Simon (Caltec
h) as part of Barry Simon's 75th Birthday Conference\n\n\nAbstract\nIn wor
king on a book I’m writing on “Phase Transitions in the Theory of Latt
ice Gases”\, I came across an unpublished 1977 thesis of Daniel Wells wi
th some beautiful results comparing Ising type models with different aprio
ri single spin distributions.. I will describe his unpublished work as wel
l 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 preprint t
hat I have not gotten ahold of!). I’ll also discuss some open problems.\
n
LOCATION:https://researchseminars.org/talk/Simons75th/4/
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