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Special Events Seminar

Fominfest: Bumpless Pipe Dreams and Alternating Sign Matrices
Thursday, November 8, 2018
3:30-4:30 PM
Forum Hall Palmer Commons Map
Lam, Lee, and Shimozono introduced bumpless pipe dreams to study back stable Schubert calculus. In particular, Schubert polynomials can be expressed as a weighted sum over bumpless pipe dreams in a square grid. Working from a different perspective, Lascoux gave a formula for Grothendieck polynomials as a sum over alternating sign matrices. We show that alternating sign matrices are in natural bijection with bumpless pipe dreams. Restricting to the lowest degree terms of Lascoux's formula recovers the LLS formula for Schubert polynomials. Along the way, we discuss how to use the pipe dream perspective to compute keys of ASMs. Speaker(s): Anna Weigandt (University of Michigan)
Building: Palmer Commons
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics