Algebraic Geometry Seminar

Series: Algebraic Geometry Seminar Series

P=W for nodal curves

Michael McBreen, C L E Moore Instructor, Mathematics, MIT,

I will describe the P=W conjecture of de Cataldo-Hausel-Migliorini. It concerns the moduli of local systems and higgs bundles on a smooth curve, and the relation between their cohomology groups. I will then discuss work in progress with Zsuzsanna Dancso and Vivek Shende to formulate and prove an analogous conjecture for nodal curves.

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For more information, please contact Pablo Solis by email at [email protected] or visit http://www.its.caltech.edu/~pablos/seminars.html.