Seminar Event Detail


Combinatorics

Date:  Friday, October 02, 2015
Location:  4088 East Hall (3:10 PM to 4:00 PM)

Title:  Total positivity for the Lagrangian Grassmannian

Abstract:   The stratification of the Grassmannian by positroid varieties has a rich combinatorial theory. Positroid varieties are indexed by a number of interesting combinatorial posets, including k-Bruhat intervals and bounded affine permutations. In addition, Postnikov's boundary measurement map gives a family of parametrizations for each positroid variety; the domain of each parametrization is the space of edge weights of a weighted planar network.

In this paper, we generalize the combinatorics of positroid varieties to the Lagrangian Grassmannian, the moduli space of maximal isotropic subspaces with respect to a symplectic form.

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Speaker:  Rachel Karpman
Institution:  U. Michigan

Event Organizer:     

 

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