University of Haifa – החוג למתמטיקה, אוניברסיטת חיפה
The configuration space Confn(X) consists of ordered n-tuples of pairwise distinct points in a topological space X. This notion can be generalized by allowing certain points to collide while requiring others to remain distinct. More precisely, given a simple connected…
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Abstract: I will tell a story of three closely related mathematical problems: the Margulis normal subgroup theorem, the Stuck–Zimmer stabilizer rigidity problem, and Thoma’s character rigidity. I will explain those problems and their history, how each generalizes and extends the…
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Abstract: In this talk, I will present new results on powers of conjugacy classes in higherrank arithmetic groups. I will explain how these results fit into a broader conceptual framework and discuss some of their consequences.
Abstract: We prove that in any dimension n there exists an origin-symmetric ellipsoid of volume c n^2 that contains no points of Z^n other than the origin. Here c > 0 is a universal constant. Equivalently, there exists a lattice…
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Cobordisms, a fundamental concept of differential topology, play a deep role in both homotopy theory and higher category theory. In homotopy theory, (framed) n-manifolds up to cobordism are isomorphic to the n-th stable homotopy group of spheres. This isomorphism preserves…
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Abstract: Classical fractals are self-similar sets, namely sets that “look the same” at different scales. Multifractal sets are geometric objects where different patterns emerge along different sequences of scales. In nature, a snowflake is a fractal while coastlines form a…
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Many categories of algebraic structures, like abelian groups and commutative rings, can be presented in terms of “algebraic theories”, a precise term which was given a categorical formulation by Lawvere. Quillen, using the simplex category, developed a construction of “nonabelian…
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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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2026 University of Haifa Distinguished Lecture Series In Mathematics: Alexander Lubotzky, Weizmann Institute. See here
