Date: Monday, February 11, 2013
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: Positroid varieties and Schubert calculus
Abstract: Take a bunch of vectors in a vector space, and impose some linear conditions on them --- for example, say that vectors 1, 3, 5, and 6 need to span a subspace of dimension 2, and that vectors 2 and 4 have to be parallel. When the conditions are all on left- or right-justified collections of vectors, the study of these arrangements is called Schubert calculus. In general, imposing these linear conditions specifies some subvariety of the Grassmannian, and computing its cohomology class will help us solve enumerative problems of this type. This talk will be about some of the progress that's been made in this direction, and some half-baked ideas for extending it further.
Speaker: Nic Ford
Institution: UM
Event Organizer:
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