A-hypergeometric systems, standard pairs and toric Cohen-Macaulayness

Laura Matusevich

UC Berkeley

April 25,
refreshments at 3:45pm


A-hypergeometric systems are linear systems of PDEs that can be thought of as non-commutative analogs of toric varieties. We study the number of linearly independent solutions to these systems, as a function of the parameters, and we reduce a central conjecture in this area to a problem in combinatorial commutative algebra, namely, to describe Cohen-Macaulay toric ideals in terms of the embedded primes of their initial ideals.

Speaker's Contact Info: laura(at-sign)math.berkeley.edu

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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