The Combinatorics Seminar meets on Friday in Snow 408 from 3-4pm.
Please contact Jeremy Martin if you are interested in speaking.
Marge Bayer/Jeremy Martin
Background material for the paper Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums by Karim Adiprasito and Raman Sanyal [Publ. Math. IHES 124 (2016), 99-163]
Stanley's proof of the Upper Bound Conjecture for simplicial spheres
Balanced Cohen-Macaulay complexes
Cayley polytopes and Minkowski sums
Cass Sherman (Oklahoma State)
Polynomials of Stretched Littlewood-Richardson Numbers
Abstract: Littlewood-Richardson (L-R) coefficients describe multiplicities of irreducible representations in a tensor product. They depend on combinatorial parameters called weights. These can be stretched by any positive integer. For a fixed set of weights, one considers the effect of stretching on L-R numbers, i.e. the function which associates to an integer \(N\) the L-R coefficient with the weights stretched by \(N\). This function is a polynomial with many nice properties. In this talk, we will discuss these properties and their relationship to the algebraic geometry of a certain polarized moduli space \((M,L)\), connected to the L-R numbers by a famous theorem of Borel-Weil.
No seminar (Spring Break)
TBA (Stop Day)
For seminars from previous semesters, please see the KU Combinatorics Group page.
Last updated Mon 3/6/17