Seminar Event Detail

Geometry & Physics

Date:  Monday, February 18, 2019
Location:  4096 East Hall (4:00 PM to 6:00 PM)

Title:  Perverse filtrations, curve counting invariants, and hyper-kähler geometry

Abstract:   For a hyper-kähler variety equipped with a Lagrangian fibration, an increasing filtration is defined on its rational cohomology using the perverse t-structure. We will discuss the role played by this filtration in the study of the topology and geometry of hyper-kähler varieties, as well as the connection to curve counting invariants of Calabi-Yau 3-folds. In particular, we will discuss recent progress on the P=W conjecture for Hitchin systems, and its compact analog for Lagrangian fibrations. Based on joint work with Qizheng Yin and Zili Zhang.


Speaker:  Junliang Shen
Institution:  MIT

Event Organizer:     


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