2023 - T2 - Higher structures in geometry and mathematical physics

Collection 2023 - T2 - Higher structures in geometry and mathematical physics

Organizer(s) Behrend, Kai ; Fantechi, Barbara ; Laurent-Gengoux, Camille ; Stiénon, Mathieu ; Xu, Ping

Date(s) 17/04/2023 - 14/07/2023

linked URL https://indico.math.cnrs.fr/event/7893/

17 88

P=W conjecture for GL_n

By Davesh Maulik

Also appears in collection : 2023 - T2 - WS2 - Higher structures in enumerative geometry

The P=W conjecture, proposed by de Cataldo-Hausel-Migliorini in 2010, gives a link between the topology of the moduli space of Higgs bundles on a curve and the Hodge theory of the corresponding character variety, using non-abelian Hodge theory. In this talk, I will explain this circle of ideas and discuss a recent proof of the conjecture for GL_n (joint with Junliang Shen).

Information about the video

Date of recording 12/06/2023
Date of publication 11/04/2024
Institution IHP
Licence CC BY-NC-ND
Language English
Audience Researchers
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2023.T2.WS2.001
Cite this video Maulik, Davesh (12/06/2023). P=W conjecture for GL_n. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T2.WS2.001
URL https://dx.doi.org/10.57987/IHP.2023.T2.WS2.001

Domain(s)

Algebraic Geometry

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