https://hu-berlin.zoom.us/j/61686623112 [3]
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.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/10472
[3] https://hu-berlin.zoom.us/j/61686623112