Department of Mathematics


  •  Representations, Combinatorics, and Configurations.
  •  01/27/2017
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Linhui Shen, Northwestern

We briefly recall Knutson-Tao’s hive model that calculates the Littlewood-Richardson coefficients. We consider the configuration spaces of decorated flags introduced by Fock and Goncharov. The configuration spaces admit natural functions called potentials introduced by Goncharov and myself. We prove that the tropicalization of configuration spaces with potentials recovers Knutson-Tao’s hives. As an application, Hong and I solve the Saturation problem for the Lie algebra so(2n+1). If time permits, I will further explain their deep connections with geometric Satake correspondence, homological mirror symmetry, and Donaldson-Thomas theory.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science