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

[Cary Malkiewich]

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

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*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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