Seminario Geometría

Twistors and Langlands duality

Ponente:  Robert Hanson (Essex University / Imperial College London)
Fecha:  miércoles 09 de abril de 2025 - 11:30
Lugar:  Aula Naranja, ICMAT

Resumen:

This talk is based on a new theory of BBB-branes within the geometric Langlands program. Our approach is based on applications of twistor theoretic ideas, applied to derived analytic moduli stacks that parametrise Higgs bundles, local systems and lambda-connections. We discuss relations to the influential work of Kapustin and Witten, who introduced BBB-branes as a special type of boundary condition within 4D supersymmetric gauge theories. We sketch candidates for the Langlands/S-dual theory of BAA-branes, understood in our context as a type of twistor D-module on the stack Bun_G of G-bundles. 

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