## EVENT DETAILS AND ABSTRACT

**Colloquium**
**Title:** Identities, probabilistic identities, and approximate identities in group theory

**Speaker:** Michael Larsen

**Speaker Info:** Indiana University

**Brief Description:**

**Special Note**:

**Abstract:**

An identity for a group G is a word w in some free group F which yields the identity element whenever elements of G are substituted for the generators of F in w. There are interesting theorems
(of which the Tits Alternative is the prototype) which say that a group which satisfies a non-trivial identity does so for a trivial reason; for instance, every abelian group satisfies the identity xyx^{-1}y^{-1}. I will discuss this and then consider what happens when the notion of identity is weakened.

**Date:** Wednesday, February 28, 2024

**Time:** 4:00pm

**Where:** Lunt 105

**Contact Person:** Bao Le Hung

**Contact email:** lhvietbao@gmail.com

**Contact Phone:** 8725885677

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Department of Mathematics, Northwestern University.