Eigenvalue problem and a new product in cohomology of flag varieties


Shrawan Kumar

University of North Carolina, Chapel Hill

Northeastern University

Thursday, March 2, 2006


Talk at 4:30 p.m. in 509 Lake Hall

Tea at 4:00 p.m. in 544 Nightingale Hall


Abstract:   This is a report on my joint work with P. Belkale. We define a new commutative and associative product in the cohomology of any flag variety G/P (which still satisfies the Poincaré duality) and use this product to generate certain inequalities which solves the analog of the classical Hermitian eigenvalue problem for any complex semisimple group G. Our recipe provides considerable improvement, in general, over the set of inequalities defined by Berenstein-Sjamaar. The talk should be accessible to general mathematical audience.

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Andrei Zelevinsky.

Home Web page:  Alexandru I. Suciu  Comments to:  
Posted:: February 14, 2006    URL: