##### Department of Mathematics,

University of California San Diego

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### Winter 2022 RTG Colloquium in Algebra, Algebraic Geometry and Number Theory

## Reuven Hodges

#### UCSD

## Classifying Levi-spherical Schubert varieties

##### Abstract:

A Schubert variety in the complete flag variety $GL_n/B$ is Levi-spherical if the action of a Borel subgroup in a Levi subgroup of a standard parabolic has an open dense orbit. I will present some recent work, joint with Alexander Yong and Yibo Gao, giving a classification of Levi-spherical Schubert varieties in terms of spherical elements of a symmetric group. I will also discuss a conjectural extension of the classification to other Lie types.

Organizer: Cristian D. Popescu

### March 16, 2022

### 4:00 PM

https://ucsd.zoom.us/j/

Meeting ID: 836 776 9286

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