Seminars & Colloquia Calendar
Geometric crystals and Whittaker functions
Thomas Lam, University of Michigan
Location: Hill 705
Date & time: Friday, 25 January 2019 at 12:00PM - 1:00PM
- Abstract: Kashiwara's crystal graphs provide combinatorial models for finite-dimensional irreducible modules of a complex semisimple Lie algebra. Berenstein and Kazhdan's geometric crystals are algebraic varieties that rationally lift combinatorial crystals, and have found applications for example in mirror symmetry, combinatorics of tableaux, and certain statistical mechanical models.I will discuss some of the basics of geometric crystals, and their characters, which turn out to be Archimedean Whittaker functions.