Srivatsa Srinivas (Theory Seminar)

Can expansion be predicted by algebraic properties?

Srivatsa Srinivas (UCSD)
Monday, December 2nd 2024, 2-3pm

Abstract:
Suppose that S is a symmetric generating set of G \times G. Suppose that \pi_L, \pi_R are the projections onto the left and right factors of G \times G. If the Cayley graphs of \pi_L(S) and \pi_R(S) are expanders, can we say that the Cayley graph of G \times G is an expander graph? The positive result for SL_2(\mathbb{F}_p) is based on joint work with Prof. Alireza Salehi Golsefidy.