Devrim Pekmezci : Large NIP Subsets of Groups

Posted by Ryan Carpenter , part of the Louise Hay Logic Seminar.

At

Oct. 23, 2024, 2 p.m.

In

427 SEO

Abstract

We shall establish that a subset A of a group G, which is NIP and has positive measure under a left-invariant finitely additive probability measure on its Boolean algebra of left translates, is weakly generic, while presenting the relevant concepts from the general theory as we progress through the proof. The proof will rely on tools from combinatorics and topological dynamics, which will be introduced throughout the talk. Time permitting, we will discuss some questions revolving around the main theorem.