Ramanujan Complexes of any Affine Type
| COMPUTER SCIENCE/DISCRETE MATH 1 | |
| Topic: | Ramanujan Complexes of any Affine Type |
| Speaker: | Donald Cartwright |
| Affiliation: | University of Sydney |
| Date: | Tuesday, December 20 |
| Time/Room: | 10:30am - 12:30pm/S-101 |
Ramanujan complexes of type ${\tilde A}_n$ have been constructed by Lubotzky, Samuels and Vishne. In this talk I would like to propose a definition of Ramanujan complexes associated with buildings of any affine type. This involves defining appropriate adjacency operators, studying their properties such as commutativity and describing their joint spectrum.