Total positivity in loop groups

Job Candidate Talk
Tuesday, January 19, 2010 - 11:05
1 hour (actually 50 minutes)
Skiles 269
University of Michigan
The Edrei-Thoma theorem characterizes totally positive functions, and plays an important role in character theory of the infinite symmetric group. The Loewner-Whitney theorem characterizes totally positive elements of the general linear group, and is fundamental for Lusztig's theory of total positivity in reductive groups. In this work we derive a common generalization of the two theorems. The talk is based on joint work with Thomas Lam.