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Perverse filtrations for Jacobian fibrations

Recent Developments in Noncommutative Algebraic Geometry April 08, 2024 - April 12, 2024

April 11, 2024 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Davesh Maulik (Massachusetts Institute of Technology)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

In this talk, I will explain how to use the Fourier-Mukai transform to study properties of the perverse filtration for certain Jacobian fibrations, specifically for moduli of Higgs bundles on a curve.   This talk is a complement to Junliang Shen’s talk, and is joint work in progress with Junliang Shen and Qizheng Yin.

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