Seminar Calendar
for events the day of Thursday, July 20, 2017.

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Thursday, July 20, 2017

Colloquium
4:00 pm   in 114 David Kinley Hall (NOTE SPECIAL LOCATION),  Thursday, July 20, 2017
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Submitted by nevins.
David A. Cox (Department of Mathematics and Statistics, Amherst College)
Moment Maps of Toric Varieties, Linear Precision, and Maximum Likelihood Degree One
Abstract: The quotient construction of the toric variety of a lattice polytope gives a canonically defined moment map. Other moment maps come from projective embeddings of the toric variety that use the ample line bundle determined by the polytope. It is natural to ask if the quotient moment map is one of these projective moment maps. My lecture will explain how this relates to linear precision in geometric modeling and and maximum likelihood degree one in algebraic statistics. This is joint work with Patrick Clarke of Drexel University.