Mathematics and Statistics Seminar – Dr. Arpan Pal
Webster Physical Science Building, Pullman, WA 99163
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- Webster Physical Science Building 11|
- Refreshments: 3-4pm
- Neill Hall 216, Hacker Lounge
About the event
Seminar in Theory and Applications of
Discrete Math, Linear Algebra and Number Theory
Department of Mathematics and Statistics
Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics
Dr. Arpan Pal
Institute for Interdisciplinary Data Sciences
University of Idaho
Abstract: The motivation for this project is to detect when an irreducible projective variety $V$ is not toric. This is achieved by analyzing the Lie group and Lie algebra associated with $V$. If the dimension of $V$ is strictly less than the dimension of the aforementioned objects, then $V$ is not a toric variety. I’ll briefly discuss an algorithm to compute the Lie algebra of an irreducible variety and use it to present examples of non-toric staged tree models in algebraic statistics.