Noncommutative geometry in mixed characteristic
Devarshi Mukherjee (University of Buenos Aires, Argentina)
Abstract: I will give an overview of noncommutative topological algebras and their cohomology theories in the setting of the p-adic integers.
This will entail constructions that are familiar from the complex case, such as the formation of a smooth subalgebra of a C*-algebra. The examples I will specialise these constructions to are group algebras of discrete and p-adic Lie groups. It turns out that these are also examples of bornological quantum groups (in the sense of Voigt). Finally, if time permits, I will also discuss the computations of the Hochschild homology of the completions of such algebras.
category theoryoperator algebrasquantum algebra
Audience: researchers in the topic
Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |