Algorithms, Combinatorics and Optimization Seminar - Ryan O'Donnell

September 3, 2026  3:00PM—4:00PM

Location:
In Person - Wean 8220

Speaker:
RYAN O'DONNELL, Professor
Computer Science Department
Carnegie Mellon University

https://www.cs.cmu.edu/~odonnell/

A non-sofic group
Thursday, September 3, 2026, 3 – 4pm

Say you have the Cayley graph G of an infinite group. Wouldn't it be nice if, for every R, there was a finite graph that looked like G in the R-neighborhood of every vertex?  Failing that, wouldn't it be nice if this held for a 1-o(1) fraction of vertices?  That's what it means for G to be sofic.  Well, it's not always meant to be; per OpenAI (and using tools by Gábor Kun and Andreas Thom), there exists a non-sofic group.  I'll try to tell you about it; it's about 90% spectral graph theory.

4:00 pm → Jane Street-sponsored tea and cookies in the Math Lounge, Wean 6220 (bring your mug!).

Event Type: Seminars
Room Number: In Person
Building: Wean 8220
Speaker's Name: RYAN O'DONNELL
Speaker Websitewww.cs.cmu.edu…
Speaker's Professional Title: Professor, Computer Science Department, Carnegie Mellon University
Talk Title: A non-sofic group
For More Informationrkrueger@andrew.cmu.edu
Affiliations: Computer Science Department (CSD), Tepper School of Business
Organization(s): School of Computer Science, Department of Mathematical Sciences
Event Website Title: Event Website
Event Website URLaco.math.cmu.edu…

For More Information:
rkrueger@andrew.cmu.edu


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