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