Harvard number theorists seminar: Non-abelian Hodge Theory: from C to F_p

The seminar this semester will be around Non-abelian Hodge Theory: from C to F_p. One of the goals will be to understand the proof of integrality of cohomologically rigid local systems. The program is available here.

Schedule:

• Meeting times: Tuesdays 10:30-12:00PM.
• Room: Science Center 221.
• First meeting: Tuesday, February 7, 2023.

Notes from previous talks:

• 02/07: Introductory talk. Salim.
• 02/14: Riemann-Hilbet. Ben
• 02/21: Harmonic bundles. Kevin.
• 03/07: Harmonic bundles. Kevin.
• 03/21: Good moduli spaces. Dori.
• 03/28: Good moduli spaces. Elden.
• 03/31: Homeomoprhisms between Betti, de Rham, and Dolbeault. Aaron. Notes.
• 04/04: Good moduli spaces. Elden.
• 04/11: Finiteness of Z-PVHS. Salim.
• 04/18: Fundamental groups of Kähler manifolds. Alex. Notes.
• 04/25: Fundamental groups of Kähler manifolds. Alex.
• 05/31: Rigid flat connections and p-curvature. Dylan. Notes.
• 06/06: Integrality of rigid systems. Kush. Notes.