Ambidexterity in geometry and exchange theoremsMPIM

by Will Booth Fisher (University of California, Berkeley)

Tuesday Nov 17, 2026, 3:05 PM → 4:50 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Oberseminar Arithmetic Geometry and Representation Theory

Twisted ambidexterity---two functors related up to a twist induced by a relative tangent bundle---is ubiquitous in geometry. We will begin by recalling some examples of this phenomenon and remarking on their commonalities. I will then introduce the concept of an exchange theorem as a categorical tool for unifying these phenomena. Utilizing this machinery, I will conclude by discussing applications to six functor formalisms, parametrized category theory and ambidexterity at large.