Codimension one foliations on adjoint varieties

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，贾甲

Speaker：

Crislaine Kuster (YMSC)

Time：

Fri., 15:30-16:30, Nov. 28, 2025

Venue：

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Title:

Codimension one foliations on adjoint varieties

Abstract:

Let X be a homogeneous variety, i.e., a variety that admits a Lie group acting on it transitively. In this talk, we will explore the space of codimension one foliations on X with a fixed normal sheaf N, focusing on the simplest possible choice of N. In particular, considering X an adjoint variety, a specific type of homogeneous variety, embedded in a projective space P^n, we will be interested in determining whether a foliation on X is a restriction of a foliation on the ambient space P^n.