Equivariant Homotopical intersection theory after Klein and Williams

by Basak Kücük

Tuesday 23 Apr 2024, 16:00 → 18:00 Europe/Zurich

Sitzungszimmer (MI)

Suppose $N$ is a compact smooth manifold equipped with a closed submanifold $Q \subset N$. An intersection problem for $(N,Q)$ consists of a map $f: P \to N$, where $P$ is a closed manifold, and we are seeking a solution for a homotopy of $f$ whose image is disjoint from $Q$. In this talk, we consider this problem in the equivariant setting, and we aim to present the obstruction theories of this problem by using the techniques of algebraic topology based on the paper "Homotopical Intersection Theory, II: equivariance" by J.Klein and B.Williams.