Will give a Topology Seminar entitled:
Dennis trace for combinatorial K-theories
Abstract: Classically algebraic K-theory captures various invariants associated to a ring, R, used widely in algebraic and arithmetic geometry and number theory. To compute these invariants, one of the most successful tools have been of trace methods. The trace method machinery builds off of a map called the Dennis trace map from algebraic K-theory of R to Hochschild homology of R. In recent few years, new 'combinatorial' K-theories have been introduced (first by Zakharevich) motivated by generalized Hilbert's third problem. In this talk, we present initial attempts to generalize the theory of trace methods to such combinatorial K-theories.
Date: 12-02-2025
Time: 2:15 pm
Location: 258 Hurley Hall