Algebraic K-theory and manifolds
Mona Merling, UPenn
Abstract: In mathematics, we often break complex objects into simpler pieces and then understand how they can be reassembled. Algebraic K-theory provides a higher-homotopical framework for studying objects up to decomposition and reassembly. In this talk, I will give an overview of algebraic K-theory and explain how different variants—such as the classical K-theory of spaces and the more recent scissors congruence K-theory—can be applied to classification problems in the study of manifolds.
Tea and refreshments available from 3:00-3:25 p.m. in the Assmus Conference Room (CU 212).
