Algebraic combinatorics seminar - Frank SottileExport this event to calendar

Tuesday, October 28, 2014 — 4:00 PM EDT

Combinatorial Positivity in the Schubert Calculus via Dual Equivalence Graphs

Speaker: Frank Sottile
Affiliation: Texas A&M University
Room: Mathematics and Computer Building (MC) 5136B

Abstract:

Algebraic geometry poses many positivity challenges to enumerative combinatorics. Two notable such challenges are Macdonald's positivity conjecture, and structure constants in the Schubert Calculus. This talk will explain how Assaf's solution to the first, through her new method for showing symmetry and Schur-positivity of quasi-symmetric generating functions, may be applied to resolve a (by now old) problem of the positivity of some of the structure constants in the Schubert calculus of the flag manifold.

This is joint with with Nantel Bergeron and Sami Assaf.

Location 
MC - Mathematics & Computer Building
5136B
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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