EVENT DETAILS AND ABSTRACT

Title: Multiplicativity of fixed point invariants
Speaker: Kate Ponto
Speaker Info: University of Kentucky
Brief Description:
Special Note:
Abstract:

The Euler characteristic of the total space of a fibration is the product of the Euler characteristics of the base and fiber (as long as the base is connected). If the fibration satisfies restrictive additional hypotheses this extends to generalizations of the Euler characteristic such as the Lefschetz number and Nielsen number.

Thinking of the Euler characteristic as an endomorphism rather an integer, this multiplicativity result becomes a factoring of the Euler characteristic. Recently Mike Shulman and I have shown that this factoring generalizes to the Lefschetz number and Reidemeister trace. This extends the classical multiplicativity results and does not require any hypotheses beyond those needed to define the invariants.