IMSc Webinar

p-adic noncommutative geometry

Devarshi Mukherjee

University of Buenos Aires

In this talk, I will survey an ongoing program on noncommutative geometry in the mixed characteristic setting. More specifically, I will cover cyclic homology theories for algebras over a finite field, with an emphasis on A1-homotopy invariant theories. Thereafter, I will discuss some ideas on extending K-theoretic and cyclic homological invariants to stable infinity categories naturally associated to overconvergent analytic spaces/stacks.