[Binghamton Geometry Topology Seminar] Geometry and Topology seminar: Andres Meija

[Cary Malkiewich]

Hi everyone,

A quick reminder that Andres is speaking in geometry/topology seminar
today, and that we'll be going to lunch with him at noon. See you there!

Best,
Cary

On Tue, Nov 14, 2023 at 2:03 PM Cary Malkiewich <
malkiewich at math.binghamton.edu> wrote:

> Hi everyone,
>
> This week we are pleased to have Andres Meija (University of Pennsylvania)
> speaking about equivariant algebraic K-theory, title and abstract below.
> This will be an in person talk, on Thursday at 2:50pm in WH 100E.
>
> We will also have a lunch social, meet at 12pm just outside WH100E. See
> you there!
>
> Best,
> Cary
>
> =========================================
> *Title:* A Genuine Linearization Map for Equivariant Algebraic K-theory
> *Abstract: *The Algebraic K-theory of a smooth manifold is a receptacle
> for many sensitive  invariants. The driving example is the classical fact
> that  the H-cobordism type of a manifold is completely controlled by only
> the fundamental group of its Algebraic K-Theory space. In fact, there is a
> reduction to a related invariant that only depends on the fundamental group
> of the manifold M. Turning to higher invariants, we are not so lucky, but
> there is still a comparison map called the linearization map that lets us
> compute parts of the Algebraic K-theory space in good situations. This talk
> will discuss a new construction of the linearization map when we are
> presented with a manifold together with the action of a finite group. If
> time permits, we will also discuss future directions with a view towards
> equivariant stable cobordism. These results are joint with D. Chan and M.
> Calle.
>
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