Title: Free GroupsSpeaker: Chris Godsil Affiliation: University of Waterloo Room: MC 5479
(The "free" in the title is an adjective, not a verb.) I will discuss free groups from a combinatorial perspective, focusing on the connections to fundamental groups and covers of graphs.
Title: The sandwich conjecture of random regular graphs and moreSpeaker: Mikhail Isaev Affiliation: Monash University Room: MC 5501
The sandwich conjecture formulated in [Kim, Vu, Advances in Math., 2004] states that if d >> log n, then the random d-regular graph on n vertices R(n, d) can asymptotically almost surely be ”sandwiched” between G(n, p1) and G(n, p2) where probabilities p1 and p2 are both (1 + o(1))d/n.