Hodge theory and Macdonald's constant term formula


Constantin Teleman

University of Texas


Room 2-190

4:30 p.m., Thursday, November 4, 1999

Abstract:   This talk presents joint work with S. Fishel and I. Grojnowski on combinatorics arising from the so-called "flag variety" of a loop group. De Rham's theorem relates the holomorphic differentials on the flag variety to its topology; however, the variety being infinite-dimensional, the connection is not quite as simple as in the finite- dimensional compact case. The discrepancy gives rise to a hypergeometric summation formula of Ramanujan's (in the case of SL2). Viewed from a different angle, our result affirms a conjecture of P. Hanlon's, which strengthened Macdonald's famous "constant term" formula. The relation between the two formulas involves the holomorphic G-bundles over the Riemann sphere. 

Home Web page:  Alexandru I. Suciu  Created: November 4, 1999   
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