Birationally equivalent Landau-Ginzburg models on cotangent bundles and adjoint orbits

Abstract: We show that the Lie potential on the minimal semisimple adjoint orbit of $\mathfrak{sl}(n+1,\mathbb{C})$ coincides with toric potential on the cotangent bundle of $\mathbb{P}^{n}$. We then study the corresponding Landau-Ginzburg models in deformation families and give some examples of how the deformations affect the mirrors.

algebraic geometrycombinatorics

Audience: researchers in the topic

Online Nottingham algebraic geometry seminar

Series comments: Online geometry seminar, typically held on Thursday. This seminar takes place online via Microsoft Teams on the Nottingham University "Algebraic Geometry" team.

For recordings of past talks, copies of the speaker's slides, or to be added to the Team, please visit the seminar homepage at: kasprzyk.work/seminars/ag.html