EVENT DETAILS AND ABSTRACT

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.