Two new families of spherical varieties

Abstract: Many familiar varieties, such as Grassmannians, toric varieties, symmetric spaces, and algebraic monoids, arise naturally as representation-theoretic objects. Understanding their geometric and representation-theoretic distinctions and similarities often reveals deeper underlying structures and results. In this talk, we introduce two new families of spherical varieties: nearly toric and doubly spherical. We will discuss their intriguing connections to combinatorics and representation theory, with a focus on their manifestations among Schubert varieties. This presentation is based on joint work with Nestor Diaz Morera (Fitchburg State University, USA), Pinaki Saha (IIT Delhi, India), and Senthamarai Kannan (Chennai Mathematical Institute, India).

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars