Representation Theory and Expansion in Groups
Video of this lecture
| COMPUTER SCIENCE/DISCRETE MATH II | |
| Topic: | Representation Theory and Expansion in Groups |
| Speaker: | Avi Wigderson |
| Affiliation: | Professor, School of Mathematics |
| Date: | Tuesday, January 26 |
| Time/Room: | 10:30am - 12:30pm/S-101 |
In this survey lecture (which will continue on Tue Feb 2) I plan to explain basic aspects of the representation theory of finite groups, and how these are applied to various questions regarding expansion and random walks on groups. These applications include
- Expanding generators in every group (Alon-Roichman,
Xiao-Wigderson)
- Inhomogeneous random walks on non-Abelian groups
(Gowers, Babai-Nikolov-Pyber)
- Shuffling of cards ( Diaconis-Shahshahani)
- Expansion in solvable groups (Meshulam-Wigderson)
- Dimension expanders (Lubotzky-Zelmanov)
No special background in group theory will be assumed.