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CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar

Thursday, October 24, 2019 - 3:00pm

Alejandro Ginory



University of Pennsylvania


In the course of investigating a statistical problem involving estimators for a parameter matrix, Donald Richards and Siddhartha Sahi have recently formulated certain positivity conjectures involving Jack polynomials. In this talk, I will present combinatorial identities involving Jack analogues of Kostka numbers and hook-length formulas arising from studying these conjectures. I will also briefly discuss the link with representation theory and integration over compact matrix groups.