[Binghamton Geometry Topology Seminar] Seminar This Week

Cary Malkiewich malkiewich at math.binghamton.edu
Thu May 13 09:31:19 EDT 2021


Hi everyone,

A reminder about the seminar today at 2:50pm EDT. The social hour will be
at *12pm* EDT (6pm in Germany). See you there!

Cary

On Tue, May 11, 2021 at 12:48 PM Cary Malkiewich <
malkiewich at math.binghamton.edu> wrote:

> Hi everyone,
>
> This week our speaker will be Achim Krause (Muenster). We'll have the
> coffee hour at *12pm* on Thursday rather than 12:30pm. Here are the
> details.
>
> *Title*: Witt vectors with coefficients and characteristic polynomials
> over non-commutative rings
>
> *Abstract:* Witt vectors are classically discussed as a means to
> canonically lift characteristic p objects to mixed characteristic. These
> "p-typical" Witt vectors also have an analogue that combines all primes at
> once, the "big Witt vectors". These show up naturally in the study of
> refinements of topological Hochschild homology, as TR_0. Since the latter
> makes sense more generally for noncommutative rings, and even with
> coefficients in a bimodule, it is natural to ask for a similar
> generalisation of Witt vectors on the algebraic side. We describe these
> ``Witt vectors with coefficients'' algebraically, and show that they enjoy
> analogs of a lot of the usual structure of Witt vectors. We also see how in
> this perspective, the trace from cyclic K-theory can be interpreted as a
> kind of noncommutative characteristic polynomial.
>
> Zoom link for the seminar, 2:50 - 3:50:
> https://binghamton.zoom.us/j/94057178271
>
> Zoom link for the coffee, 12:00 - 1:00:
> https://binghamton.zoom.us/j/96674397432
>
> Best,
>
> Cary
> _______________________________________________
> Seminar web page:
> http://www2.math.binghamton.edu/p/seminars/topsem
> topsem mailing list:
> http://www1.math.binghamton.edu/mailman/listinfo/topsem
>
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