Discrete CATS Seminar
U N I V E R S I T Y   O F   K E N T U C K Y
WHERE CATS =
845 PATTERSON OFFICE TOWER
2008 - 2009
"Total positivity in loop groups"
University of Michigan
Monday, June 22, 2009
10:00 am, 845 Patterson Office Tower
In this work joint with Thomas Lam we define and study the totally
positive part of polynomial and formal loop groups. Our motivation
comes from two sources. On the one hand, we generalize Lusztig's
theory of total positivity in reductive groups. On the other, we
generalize the work of Aissen, Schoenberg and Whitney on totally
positive sequence and aim to generalize the Edrei-Thoma theorem which
is related to asymptotic representation theory of symmetric groups.