Geometry/Physics Seminar

Title: Quantizing the Loday-Quillen-Tsygan Theorem
Speaker: Owen Gwilliam
Speaker Info: University of Massachusetts (Amherst)
Brief Description:
Special Note:

The Loday-Quillen-Tsygan theorem relates the cyclic (co)homology of an associative algebra A to the Lie algebra (co)homology of glN(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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