Colloquium: Søren Galatius (Columbia University)

3:00–4:00 pm Eckhart 206

Title: Moduli Spaces of Metric Graphs

Abstract:

There is a moduli space of (finite, not necessarily connected) metric graphs, equipped with a homotopy commutative product, a homotopy associative coproduct, and a compatible filtration.  In recent joint work with Brown, Chan, and Payne, we explained how this moduli space provides a space-level lift of a certain rational chain complexes arising in descriptions of derived automorphism groups of operads.  I will sketch a proposed Koszul dual to this moduli space.

Event Type

Colloquia

May 20