Convex partitions of vector bundles and fibrewise configuration spaces

**Thema der Dissertation:**Convex partitions of vector bundles and fibrewise configuration spaces

What is topological complexity?

**Thema der Disputation:**What is topological complexity?

**Abstract:**Inspired by the problems from the field of autonomous robotics and the notion of topological complexity from the works of Smale and Vassil'iev, Farber introduced in 2003 a new numeric-valued homotopy invariant - topological complexity TC(X) of a space X. At the beginning of this talk we will define topological complexity and will see how it is connected to some classical problems in math as well as some non-math questions. Then we will turn our attention to the computation of the topological complexity of configuration space on k pairwise distinct points in a Euclidean space. This will bring together different ideas and methods from across algebraic topology. The talk is primarily based on papers by Farber, Farber & Yuzvinsky and Farber & Grant.### Time & Location

Sep 05, 2023 | 04:00 PM

Seminarraum 019

(Fachbereich Mathematik und Informatik, Arnimallee 3, 14195 Berlin)