Colloquia
Upcoming Colloquiums
Location: Surge 284
Time: 4:10 - 5:00pm
Light Refreshments Served in Surge 284 at 3:30 p.m.
May 14, 2008
Dr. Eugene Mukhin
Indiana University- Purdue University Indianapolis
"Schubert Calculus and Representation Theory"
The Bethe algebra is a natural commutative subalgebra in the universal enveloping algebra of the current algebra. We explain that in case of gl(N) the action of the Bethe algebra in various representations can be identified with the regular representations of algebras of functions on suitable algebraic varieties. This result allows us to prove a number of long standing conjectures. For example we show that the intersection of Schubert varieties for real values of parameters is always transversal and real.