# Aida Maraj: Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics

**Time: **
Thu 2023-10-19 15.00 - 16.00

**Location: **
Zoom

**Video link: **
Meeting ID: 697 2093 3528

**Participating: **
Aida Maraj (University of Michigan)

**Abstract.**

The motivation for this talk is to detect when an irreducible projective variety *V* is not toric. We do this by analyzing a Lie group and a Lie algebra associated with *V*. If the dimension of *V* is strictly less than the dimension of the above-mentioned objects, then *V* is not a toric variety. We provide an algorithm to compute the Lie algebra of an irreducible variety and use it to provide examples of non-toric statistical models in algebraic statistics. The talk is based on preprint
arxiv:2309.10741
with Arpan Pal.