Seminar:
Algebra and Geometry lecture series
Event time:
Friday, March 28, 2025 - 3:00pm
Location:
KT801
Speaker:
David Fang
Speaker affiliation:
Yale University
Event description:
Recently there was a paper of Hausel and Hitchin which developed the theory of upward flows/attracting loci in the moduli space of semistable Higgs bundles, and used them to for example to compute multiplicities of components of the global nilpotent cone. They also gave an incomplete picture of what the mirror of certain upward flows look like under some version of homological mirror symmetry. We give a more complete explanation of this mirror, using the duality theories for compactified Jacobians developed by Arinkin, Melo-Rapagnetta-Viviani, and Maulik-Shen-Yin.