Department of Mathematics

Combinatorics and Graph Theory

  •  Anna Weigandt, University of Michigan
  •  Transition on Grothendieck Polynomials, https://msu.zoom.us/j/5476724571, passcode: MthMus
  •  10/07/2020
  •  3:00 PM - 3:50 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Bruce E Sagan (bsagan@msu.edu)

Using anti-diagonal Gröbner geometry, Knutson and Miller explained how Grothendieck polynomials arise as K-polynomials of matrix Schubert varieties. We will discuss how Lascoux's transition equations for Grothendieck polynomials can be realized geometrically through "almost anti-diagonal" Gröbner degeneration of matrix Schubert varieties. In particular, under this strange term order, Fulton's generators form a Gröbner basis. Our proof involves studying the lattice of alternating sign matrices.

 

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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

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