Geometry and Topology Seminar, 18 OCT, Surojit Ghosh. Title “Equivariant maps related to the topological Tverberg conjecture”
Department of Mathematics University of Haifa
Geometry & Topology Seminar
Speaker: Surojit Ghosh (University of Haifa)
Topic: Equivariant maps related to the topological Tverberg conjecture
Place: room 614 in the Science & Education Building
Date: Thursday, October 25, 2018
Abstract: Using equivariant obstruction theory we construct equivariant maps from certain classifying spaces to representation spheres for cyclic groups, the product of elementary Abelian groups and dihedral groups. Restricting them to finite skeleta constructs equivariant maps between spaces which are related to the topological Tverberg conjecture. This answers negatively a question of Ozaydin posed in relation to weaker versions of the same conjecture. Further, it also has consequences for Borsuk-Ulam properties of representations of cyclic and dihedral groups.
This is joint work with Samik Basu.