Universal global nilpotent cone
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date
Thursday, May 20, 2021 14:00 - 16:00
Speaker
Zhiwei Yun (MIT Mathematics)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tamas Hausel
Contact
Url
The global nilpotent cone is the zero fiber of the Hitchin map in the moduli space of Higgs bundles over an algebraic curve. It is a conic Lagrangian in the ambient symplectic moduli space, and it plays an important role in the geometric Langlands program. In this talk we define a version of the global nilpotent cone for a family of curves. It will be a closed conic Lagrangian in the cotangent bundle of the total space of the family of Bun_G's for the family of curves. Implicitly it encodes a "connection" among the category of sheaves on Bun_G as the curve varies. I will mention the motivation of the construction from Betti geometric Langlands. This is joint work with David Nadler.
Notes: https://seafile.ist.ac.at/f/4a298acb2afe4d648e89