Topology Seminar - Infiniteness of A_infinity types of guage groups - Daisuke Kishimoto (Kyoto) Seminar
- Time:
- 14:00 - 15:00
- Date:
- 20 March 2017
- Venue:
- Room 2025, Building 16, University of Southampton, SO17 1BJ
For more information regarding this seminar, please telephone Professor Stephen Theriault on 023 8059 2141 or email S.D.Theriault@southampton.ac.uk .
Event details
Abstract: Gauge groups are topological groups of automorphisms of principal bundles. Consider all principal G-bundles over X for fixed G,X. Then we have a family of gauge groups and it is interesting to count the number of specific equivalence classes. Crabb and Sutherland showed that if G is a compact connected Lie group and X is a finite complex, then the number of distinct homotopy types of gauge groups is finite. Later, this finiteness is generalized by Tsutaya to A_n-types for finite n. In this talk, I will explain infiniteness of A_infinity-types when X is a sphere and G is a compact connected simple Lie group. This is a joint work with M. Tsutaya.
Speaker information
Associate Professor Daisuke Kishimoto , Kyoto University. Algebraic topology elucidates nature of spaces (or other objects) through a deformation called homotopy. I work on algebraic topology to investigate structures of combinatorially constructed spaces and their invariants such as (co)homology. I also investigate classical topics like homotopy theory of Lie groups.