Affiliation:
Universität Heidelberg/MPIM
Date:
Mon, 2021-04-12 14:00 - 15:00
The goal of this survey talk is to provide an introduction to surgery theory. Generally speaking, surgery theory is concerned with the classification of high-dimensional manifolds, where high means greater or equal to 4. Surgery allows us to study the existence and uniqueness of manifold structures within a prescribed homotopy type, dealing with the following questions:
1) "Can we find a manifold within a homotopy type?"
2) "When is a homotopy equivalence of m-dimensional manifolds homotopic to a homeomorphism?"