Langlands duality for 3-manifolds and Donaldson–Thomas theoryMPIM

by Tasuki Kinjo (RIMS, Kyoto)

Thursday Sep 17, 2026, 10:30 AM → 12:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

Algebraic Geometry talk

This talk concerns Langlands duality for 3-manifolds using cohomological Donaldson–Thomas theory. I will explain that the structures appearing in 2d geometric Langlands, such as the Eisenstein series functor and the Hecke operators, have 3-dimensional analogues. As a consequence, I will explain some non-trivial computational evidence for the Langlands duality conjecture.