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DTSTART;TZID="Pacific Time (US & Canada)":20241028T161000
DTEND;TZID="Pacific Time (US & Canada)":20241028T170000
SUMMARY:Mathematics and Statistics Seminar – Dr. Arpan Pal
LOCATION:Webster Physical Science Building, Pullman, WA 99163
DESCRIPTION:Seminar in Theory and Applications of\n\nDiscrete Math, Linear Algebra and Number Theory\n\nDepartment of Mathematics and Statistics\n\nSymmetry Lie Algebras of Varieties with Applications to Algebraic Statistics\n\nDr. Arpan Pal\n\nInstitute for Interdisciplinary Data Sciences\n\nUniversity of Idaho\n\n \n\nAbstract: 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.
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