1 h
Trickle-down Theorems for High-dimensional Expanders via Log-concave Polynomials
Mathematics, Algebra and seminar by Jonathan Leake, University of Waterloo
Monday 09:00 Los Angeles (GMT-7)
Recording available
Berkeley, United States
Recording
Abstract
Expansion properties of low-dimensional links can propagate through a simplicial complex. This talk presents recent results for partite high-dimensional expanders and their consequences for approximate sampling. It explains how Lorentzian and log-concave polynomials provide the mathematical basis for these local-to-global arguments.
Topics
low-dimensional linkssimplicial complexpartite high-dimensional expandersapproximate samplinglog-concave polynomialslocal-to-global argumentsexpansion propertiesmathematical basis