Back to Departmental Colloquium: Fall 2012
Departmental Colloquium
Date: Thursday, Nov 29, 2012
Time: 4:15PM
Location: JWB 335
Skip Garibaldi
Emory University, visiting UC San Diego
Title |
Algebraic groups with the same tori |
Abstract |
Are matrix groups determined by their maximal tori? Over number fields, this is an old question attributed to Shimura. Translated into a question about rings, it asks: Are division algebras with the same subfields isomorphic or anti-isomorphic? The answers to these two questions are in many cases “no”, but are “yes” in some interesting cases that have applications to analogues of the question “Can you hear the shape of a drum?” for locally symmetric spaces. |
Data Science and Machine Learning
Applied Mathematics