Geometry and Topology Seminar, 18 OCT, Surojit Ghosh. Title “Equivariant maps related to the topological Tverberg conjecture”

Author: raphy October 21, 2018

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

Time   12:10

Date:  Thursday, October 25, 2018

                                                   Abstract:

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.