20. May 2021
Universal global nilpotent cone
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Datum: 20. May 2021 |
14:00 –
16:00
Sprecher:
Zhiwei Yun, MIT Mathematics
Veranstaltungsort: https://mathseminars.org/seminar/AGNTISTA
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.
