Department of

# Mathematics

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

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, July 20, 2017

4:00 pm in 114 David Kinley Hall (NOTE SPECIAL LOCATION),Thursday, July 20, 2017

#### Moment Maps of Toric Varieties, Linear Precision, and Maximum Likelihood Degree One

###### David A. Cox (Department of Mathematics and Statistics, Amherst College)

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.