Monday, December 6, 2021 - 12:00pm to 1:00pm
Location:In Person Traffic21 Classroom Gates Hillman 6501
Speaker:KEVIN PRATT, Ph.D. Student https://www.cs.cmu.edu/~kpratt/
High-Dimensional Expanders from Chevalley Groups
High-dimensional expanders are a relatively new class of objects that have motivated work on quantum LDPC codes, locally testable codes, and the resolution of the Mihail-Vazirani conjecture on matroids. Despite this, there are only two known families of (local) high-dimensional expanders. In this talk I will discuss constructions of several new families obtained in joint work with Ryan O'Donnell. This generalizes a previous construction due to Kaufman and Oppenheim.
Presented in Partial Fulfillment of the CSD Speaking Skills Requirement.