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.