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Events & Seminars

2019 Oct 31

Colloquium: Leonid Polterovich (TAU) - Quantum footprints of symplectic rigidity

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2:30pm to 3:30pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem
Title: Quantum footprints of symplectic rigidity
Abstract: I'll discuss an interaction between symplectic topology, a rapidly developing mathematical area originated as a geometric language for problems of classical mechanics, and quantum mechanics. On one hand, ideas from quantum mechanics give rise to new structures on the symplectic side, and quantum mechanical insights lead to useful symplectic predictions. On the other hand, some phenomena discovered within symplectic topology admit a translation into the language of quantum mechanics.
2019 Dec 12

Colloquium: Menachem Lazar (Bar Ilan) - Spatial point sets, level set geometry, and Voronoi topology structure analysis

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2:30pm to 3:30pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem
Physical systems are regularly studied as spatial point sets, and so understanding the structure in such sets is a very natural problem. However, aside from several special cases, describing the manner in which a set of points can be arranged in space has been historically challenging. In the first part of this talk, I will show how consideration of the configuration space of local arrangements of neighbors, and a few simple results in metric geometry, can shed light on essential challenges of this problem, and in the classification of data more generally.
2019 Nov 07

Colloquium: Boaz Klartag (Weizmann) - Needle decomposition and Ricci curvature

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2:30pm to 3:30pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem
Title: Needle decomposition and Ricci curvature
Abstract: Needle decomposition is a technique in convex geometry,
which enables one to prove isoperimetric and spectral gap
inequalities, by reducing an n-dimensional problem to a 1-dimensional
one. This technique was promoted by Payne-Weinberger, Gromov-Milman
and Kannan-Lovasz-Simonovits. In this lecture we will explain what
needles are, what they are good for, and why the technique works under
lower bounds on the Ricci curvature.
2019 Dec 24

Zabrodsky Lecture 3: The symplectic topologist as a homotopy theorist

Lecturer: 

Paul Seidel (MIT)
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1:00pm to 2:00pm

Location: 

Ross Building, Room 70

Modern symplectic topology deals with objects of symplectic geometry indirectly, by associating to them auxiliary moduli spaces. This complicates its relation with homotopy theory. I will explain the overall framework that describes this relation (going back to Cohen, Jones and Segal), and some of the directions that are under investigation.

2019 Dec 23

Zabrodsky Lecture 2: The symplectic topologist as a number theorist

Lecturer: 

Paul Seidel (MIT)
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1:00pm to 2:00pm

Location: 

Ross Building, Room 70

Most of the complications of classical topology have to do with torsion phenomena, say by looking at homology with modulo p coefficients. In principle, the same is true for symplectic topology, but the implications are only beginning to be explored. A particular impetus is provided by mirror symmetry, which links symplectic topology with arithmetic geometry.

2019 Nov 20

Analysis Seminar: Genadi Levin "The Cauchy transform that vanishes outside a compact"

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12:00pm to 1:00pm

Location: 

Ross 70

Title: The Cauchy transform that vanishes outside a compact.
Abstract: The Cauchy transform of a complex finite compactly supported measure on the plane is its convolution with the Cauchy kernel.
The classical F. and M. Riesz theorem asserts that if the Cauchy transform of a measure $\mu$ on the unit circle
vanishes off the closed unit disk then $\mu$ is absolutely continuous w.r.t. the arc measure on the unit circle.
Motivated by an application in holomorphic dynamics we present a certain generalization of this Riesz theorem
2019 Dec 11

Analysis Seminar: Matania Ben-Artzi (HUJI) "Spline functions, the biharmonic operator and approximate eigenvalues"

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12:00pm to 1:00pm

Location: 

Ross 70
Title: Spline functions, the biharmonic operator and approximate
eigenvalues.
Abstract: The biharmonic operator plays a central role in a wide array of physical models, such as elasticity theory and the streamfunction formulation of the Navier-Stokes equations.In this talk a full discrete elliptic calculus is presented. The primary object of this calculus is a high-order compact discrete biharmonic operator (DBO).
2019 Dec 26

Colloquium: Boaz Haberman (UCF)

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2:30pm to 3:30pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem

A variety of algebra is a concept like "monoid", "group" or "ring" (but not "field"), which can be axiomatized by finitary operations (e.g. multiplication, inversion) and universally quantified axioms (e.g. associativity).
2019 Nov 21

Colloquium: Liran Rotem (Technion): The (B)-conjecture and ​functional inequalities

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2:30pm to 3:30pm

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem

Title: The (B)-conjecture and​functional inequalities


Abstract:


The log-Brunn-Minkowski inequality is an open problem in convex geometry regarding the volume of convex bodies. The (B)-conjecture is an apparently different problem, originally asked by probabilists, which turned out to be intimately related the the log-Brunn-Minkowski inequality. 

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