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, February 9 |
| Time/Room: | 10:30am - 12:30pm/S-101 |
In this survey lecture (which will be continued), 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.