Department of Mathematics,
University of California San Diego
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Math 211B - Group Actions Seminar
Sam Mellick
McGill University
Vanishing of rank gradient for lattices in higher rank Lie groups via cost
Abstract:
In 2016 Abert, Gelander, and Nikolov made what they called a provocative conjecture: for lattices in higher-rank simple Lie groups, the minimum size of a generating set (rank) is sublinear in the volume. I will discuss our solution to this conjecture. It is a corollary of our main result, where we establish "fixed price one" for a more general class of "higher rank" groups. No familiarity of fixed price or cost is required for the talk. Joint work with Mikolaj Fraczyk and Amanda Wilkens.
Host: Brandon Seward
May 11, 2023
10:00 AM
APM 7218 and Zoom ID 967 4109 3409
Email an organizer for the password
Research Areas
Ergodic Theory and Dynamical Systems****************************
