Events & Seminars

2019 Nov 20

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

12:00pm to 1:00pm


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 Nov 21

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

2:30pm to 3:30pm


Manchester Building (Hall 2), Hebrew University Jerusalem

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


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. 
2019 Aug 15

Analysis Seminar: Mira Shamis (London) "Applications of the Ky Fan inequality to random (and almost periodic) operators"

12:00pm to 1:00pm


Ross 70
Title: Applications of the Ky Fan inequality to random (and almost periodic) operators
Abstract: We shall discuss the Ky Fan inequality for the eigenvalues of the sum of two Hermitian matrices. As an application, we shall derive a sharp version of a recent result of Hislop and Marx pertaining to the dependence of the integrated density of states of random Schroedinger operators on the distribution of the potential. Time permitting, we shall also discuss an application to quasiperiodic operators.
2019 Aug 07

NT & AG Seminar: Sandeep Varma "Bernstein projectors for SL(2)"

2:00pm to 3:00pm


Ross 70
Let G be the group SL(2) over a finite extension F of Q_p, p odd. For a fixed r ≥ 0, we identify the elements of the Bernstein center of G supported in the Moy-Prasad G-domain G_{r^+}, by characterizing them spectrally.
We study the behavior of convolution with such elements on orbital integrals of functions in C^∞_c(G(F)), proving results in the spirit of semisimple descent.
These are ‘depth r versions’ of results proved for general reductive groups by J.-F. Dat, R. Bezrukavnikov, A. Braverman and D. Kazhdan.