Title: Chromatic-type homology theories
Speaker: Radmila Sazdanovic (NCSU)
Abstract: The configuration space of n distinct points in a manifold $X$ is a well-studied object with lots of applications. Eastwood and Huggett define graph configuration spaces $M(G,X)$ by allowing vertices connected by an edge in $G$ to occupy the same point in $X$. Our work generalizes this construction from graphs to finite simplicial complexes to obtain the space $M(S,X)$. The focus of this talk is chromatic homology for graphs and simplicial complexes, as well as their relations with other homology theories. Time permitting we will describe the polynomial invariant of simplicial complexes arising as the Euler characteristic of $M(S,X)$.
Seminar URL: https://tgda.osu.edu