Posted in

Speaker:

Graeme Wilkin
Affiliation:

York
Date:

Tue, 22/03/2022 - 13:45 - 15:30 https://hu-berlin.zoom.us/j/61686623112

The Hecke correspondence plays a central role in the Geometric Langlands program. In this talk I will show that the Hecke correspondence for Higgs bundles has a natural analytic interpretation in terms of spaces of flow lines for the Yang-Mills-Higgs functional. This requires first constructing ancient solutions to the Yang-Mills-Higgs flow, and then classifying the isomorphism classes that appear in this construction. Finally I will also describe a geometric criterion for distinguishing between broken and unbroken flow lines using secant varieties associated to the underlying Riemann surface.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |