[Binghamton Geometry Topology Seminar] This week: Cary Malkiewich

[jwilliams at math.binghamton.edu]

Thursday, Feb. 28, 2:50pm in WH 100E

This week, our own Cary Malkiewich will speak about Parametrized spectra
and fixed-point theory.

Abstract: In 1980, Dold and Puppe presented a revisionist proof of the
Lefschetz fixed point theorem. The main idea is that the Lefschetz number
L(f) is secretly more than a number, it's actually a map of spectra. Their
ideas can be generalized to the Reidemeister trace R(f), or to families of
fixed-point problems, but these generalizations require us to work with
parametrized spectra, in other words spectra that vary over a fixed base
B. I'll talk about what these words mean, and some cool things we can
prove once we have them in our toolbox.