## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Quantizing the Loday-Quillen-Tsygan Theorem

**Speaker:** Owen Gwilliam

**Speaker Info:** University of Massachusetts (Amherst)

**Brief Description:**

**Special Note**:

**Abstract:**

The Loday-Quillen-Tsygan theorem relates the cyclic (co)homology of an associative algebra A to the Lie algebra (co)homology of gl_{N}(A) as N grows large. In rather poetic language, one can say it relates a topological closed string theory to a gauge theory in the large N limit. We will give a precise formulation of this idea when A is a cyclic A_{∞}-algebra, and we will use it to revisit the large N behavior of Gaussian random matrices, such as Harer-Zagier recurrence. This work is joint with Ginot, Hamilton, and Zeinalian.

**Date:** Tuesday, October 12, 2021

**Time:** 4:00pm

**Where:** Lunt 103

**Contact Person:** John Francis

**Contact email:** jnkf@math.northwestern.edu

**Contact Phone:**

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