Date: Friday, February 17, 2017
Location: 4088 East Hall (3:10 PM to 4:00 PM)
Title: Transition formulas and SchurPpositivity for (stable) involution Schubert polynomials
Abstract:
Stable Schubert polynomials (aka Stanley symmetric functions) are Schurpositive symmetric functions, whose Schur coefficients can be described either by a recurrence coming from Monk's rule, or combinatorially by the EdelmanGreene insertion algorithm. We give analogous results for what we call involution Schubert polynomialsrepresentatives for the cohomology classes of the closures of the O(n) or Sp(2n)orbits on the complete flag variety, first described by Brion and WyserYongwhere now Schurpositivity is replaced by SchurPpositivity. A new LittlewoodRichardson rule for Schur Pfunctions follows as a special case. We also give a new proof of results of DeWitt and ArdilaSerrano classifying skew Schur functions which are SchurPpositive. This is joint work with Zach Hamaker and Eric Marberg.
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Speaker: Brendan Pawlowski
Institution: University of Michigan
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