Topology Seminar: Man Chuen Cheng
Topic
The space of almost commuting tuples of unitary matrices
Speakers
Details
Let G be a Lie group. The space Hom(Z^n,G) of commuting n-tuples in G was extensively studied over the last few years. Two related generalizations of this space are the space of almost commuting tuples, in the sense that the commutator of every pair of elements in each tuple is in the center of G, and the space of homomorphisms Hom(Gamma, G) from a central extension Gamma of a free abelian group by a free abelian group to G.
In this talk, I will describe the structures of these spaces and the relations between them in the case G=U(m). I will also discuss questions such as the number of path components and the rational homotopy type of these spaces.
This is joint work with Adem.
In this talk, I will describe the structures of these spaces and the relations between them in the case G=U(m). I will also discuss questions such as the number of path components and the rational homotopy type of these spaces.
This is joint work with Adem.
Additional Information
Location: ESB 4133
Man Chuen Cheng, UBC
Man Chuen Cheng, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
October 15, 2014
Time
-
Location