| Speaker: |
Sarunas Kaubrys (Kavli IPMU) |
| Title: |
Cohomological DT theory and nonabelian Hodge theory for stacks |
| Date (JST): |
Thu, Nov 13, 2025, 15:30 - 17:00 |
| Place: |
Seminar Room B |
| Abstract: |
In this talk I will start with an introduction to cohomological DT theory. I will then explain work in progress towards a multiplicative version of nonabelian Hodge theory for stacks for GLn. This type of result relates the CoDT invariants of the inertia stack of the Higgs stack of a curve \Sigma_g and the inertia stack of the stack of local systems on \Sigma_g. Such a result allows one to connect Langlands duality for 3-manifolds of the type \Sigma_g x S^1 and topological mirror symmetry for Higgs bundles on \Sigma. The main tools of the proof are the use of an exponential map relating CoDT invariants of "additive" moduli spaces to CoDT invariants of "multiplicative" moduli spaces and a decomposition result called cohomological integrality.
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