Colloquium

Abstract: Given a finite group G, and a finite dimensional complex representation π: G \to GL(V), the character χπ(g):=tr(π(g)) of π is a function on G which completely determines π. Let G = GL_n(F), where F is the field of…
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The central limit theorem (CLT) and related results for stationary weakly dependent sequences of random variables have been extensively studied in the past century, starting from a pioneering work of Berenstien (1927). However, in many physical phenomena there are external…
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In this talk, we will survey a collection of questions (and partial answers) regarding the role of symmetry in the inequalities of isoperimetric type. We will speculate why symmetry might help with improving isoperimetric properties, recall the B-conjecture, and will…
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We consider the evolutes of plane real-algebraic curves and find lower bounds for the following 4 quantities:  (1) the maximal number of times a real line can intersect the evolute of a real-algebraic curve of degree d; (2) the maximal number…
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Abstract: We consider the following dynamics on a connected graph (V,E) with n vertices. Given p>1 and an initial opinion profile f_0: V \to [0,1], at each integer step t >= 1 a uniformly random vertex v=v_t is selected, and the…
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Abstract: The Combinatorial Invariance Conjecture for Kazhdan–Lusztig polynomials posits that the Bruhat graph associated with two elements in a Coxeter group uniquely determines the corresponding Kazhdan–Lusztig polynomial. This conjecture has been a topic of research for over forty years, with…
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It is well known that cluster structures and Poisson structures in the algebra of regular functions on a quasi-affine variety are closely related. In this talk, I will discuss this connection for Poisson structures defined on a simple simply connected…
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The most rudimentary description of an elastic body is as a Riemannian manifold (with boundary)  constrained to “live” in an ambient Euclidean space of same dimension. To each configuration (i.e., to each embedding of the body in space) is assigned…
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Speaker: Sergey Komech (Ben Gurion) Place: Room 614, Education and Sciences Building, University of Haifa Date and Time: May 20, 2025, 14:00-15:00 Title: Optimal list-recoverability via alphabet permutation codes Abstract: See attached PDF. Zoom link: https://us02web.zoom.us/j/87282501214?pwd=gnoO4TOG9LKBQJrfQ89Od7nUkoy0S3.1 Meeting ID: 872 8250 1214 Passcode: 009572 A basic problem…
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Speaker: Omri Sarig (Weizmann) Place: Room 614, Education and Sciences Building, University of Haifa Date and Time: May 20, 2025, 14:00-15:00 Title: Irregularities in Uniform Distribution Abstract: Suppose a is an irrational number. Weyl proved that a mod 1 is uniformly distributed on the unit interval. i.e.,…
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