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"Fixed points of group actions on unitary partition complexes"

Referentin: Prof. Dr. Julie Bergner, University of Virginia

The poset of nontrivial partitions of a finite set can be geometrically realized to obtain a topological space equipped with an action of the symmetric group. This space and ist fixed point spaces by actions of subgroups of the symmetric group has been investigated in a series of papers by Arone, Dwyer, and Lesh and is expected to lead to a new proof of The Whitehead Conjecture. In joint work with Joachimi, Lesh, Stojanoska, and  Wickelgren, we consider instead nontrivial decompositions of a finite dimensional complex vector space into orthogonal subspaces, which form a topological poset. We investigate ist geometric realization and the fixed point spaces by actions of subgroups of the unitary group.

Date: Monday, 25.09.17  Time: 14:00 -  15:00
Organizer: Mathematisch-Geographische Fakultät 
Location: Raum 103, Kollegiengebäude, Bau A, Ostenstraße 28, Eichstätt