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GRASP seminar
GRASP seminar
Topological Donaldson-Thomas theory, Hitchin systems, and Langlands duality
Topological Donaldson-Thomas theory, Hitchin systems, and Langlands duality
Organizers
Pengfei Huang
,
Tao Su
, Hao Sun
,
Mengxue Yang
Speaker
Tasuki Kinjo
Time
Wednesday, October 21, 2026 3:30 PM - 5:00 PM
Venue
A7-101
Online
Zoom 230 432 7880
(BIMSA)
Abstract
In this talk, I will discuss an enumerative invariant that gives a virtual count of G-local systems on a 3-manifold, where G is a reductive group. This invariant can be viewed as a topological analogue of the Donaldson–Thomas invariant. Following a proposal of Safronov, we use this invariant to formulate a version of Langlands duality for certain classes of 3-manifolds and for the Hitchin system. We also present some computations of these invariants that provide evidence for the conjectured duality.
This talk is partly based on joint work in progress with Lucien Hennecart.
This talk is partly based on joint work in progress with Lucien Hennecart.