Valuative independence and theta reciprocity

event Friday, April 18, 2025
access_time 3:00pm (CDT)
room PHSC 1105
free_breakfast Tea at 2:30pm (CDT) in PHSC 424

Abstract: A discrete valuation of a linear combination of terms is generally greater than or equal to the minimum of the valuations of the terms. A fundamental fact in toric geometry says that if the terms are monomials and the valuation corresponds to a toric boundary divisor, then this inequality will actually be an equality. We call this valuative independence. I'll discuss valuative independence for theta functions on cluster varieties. I'll then explain theta reciprocity, a symmetry property between valuations and theta functions. This is based on joint work with M.-W. Cheung, T. Magee, and G. Muller.


For more information on this event, please contact Travis Mandel.