Semi-polarized meromorphic Hitchin and Calabi-Yau integrable systems

Abstract: Since the seminal work of Hitchin, the moduli spaces of Higgs bundles, also known as the Hitchin systems, have been studied extensively because of their rich geometry. In particular, each of these moduli spaces admits the structure of an algebraic integrable system. There is another class of algebraic integrable systems provided by the so-called non-compact Calabi-Yau integrable systems. By the work of Diaconescu, Donagi and Pantev, it is shown that Hitchin systems are isomorphic to certain Calabi-Yau integrable systems. In this talk, I will discuss joint work with Sukjoo Lee on how to extend this correspondence to the meromorphic setting.

algebraic geometry

Audience: researchers in the discipline

American Graduate Student Algebraic Geometry Seminar

Series comments: The American Graduate Student Algebraic Geometry Seminar (AGSAGS) is a virtual seminar by and for algebraic geometry graduate students.

The goal of this seminar is for graduate students to share their research through online talks and to provide an algebraic geometry graduate networking system. Grad students, postdocs, and professors are welcome to attend.

Seminars will be held on Mondays at 4 p.m. Eastern on Zoom. We hope this time is convenient for graduate students in the Americas, hence the name AGSAGS. Prior registration is required and interested participants should register here: sites.google.com/view/agsags/registration. In addition to graduate talks, there will be occasional social events.