Joint Harvard-CUHK-YMSC Differential Geometry Seminar: Lagrangians and mirror symmetry in the Higgs bundle moduli space
SEMINARS: DIFFERENTIAL GEOMETRY
The talk concerns recent work with Tamas Hausel in asking how SYZ mirror symmetry works for the moduli space of Higgs bundles. Focusing on C^*-invariant Lagrangian submanifolds, we use the notion of virtual multiplicity as a tool firstly to examine if the Lagrangian is closed, but also to open up new features involving finite-dimensional algebras which are deformations of cohomology algebras. Answering some of the questions raised requires revisiting basic constructions of stable bundles on curves.
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For details visit:
http://www.ims.cuhk.edu.hk/cgi-bin/SeminarAdmin/bin/Web
http://www.ims.cuhk.edu.hk/activities/seminar/joint-dg-seminar/
Zoom Link: https://cuhk.zoom.us/j/99285825827
Meeting ID: 992 8582 5827
Passcode: 20211201