Juvitop is the MIT graduate student topics seminar in algebraic topology. This semester Juvitop is pre-Talbot: preparation for this year's Talbot workshop. The topic for this semester is "Non-Abelian Hodge Theory."

The seminar will meet at the usual time-and-place:

• When: Wednesdays at 3:45pm
• Where: 2-255

You might also want to check out babytop, or the topology seminar.

Questions/Comments? Email one of the organizers: Anatoly Preygel (preygel at m@h.mit.edu) or Sheel Ganatra (ganatra at m@h.mit.edu). [Replace "@" with "at".]

Date	Speaker	Title	Notes
02/23/2011	Jacob Lurie	Introduction	(PDF) (taken by David Jordan)
03/02/2011	Anatoly Preygel	Variations of Hodge structure	(PDF) (taken by Nick Rozenblyum)
03/09/2011	Sheel Ganatra	Applications (of future talks)	(PDF) (taken by Nick Rozenblyum)
03/16/2011	David Jordan	Deligne and Simpson's construction of the twistor space underlying the De Rham space of a variety	(PDF) (taken by Sheel Ganatra)
03/30/2011	Joshua Batson	From Higgs to harmonic
04/06/2011		No meeting
04/13/2011	Saul Glasman	From flat to harmonic

General/overview:

• "Algebra V: homological algebra" section on Hodge theory
• Le Potier's article in Sem. Bourbaki: "Fibres de Higgs et systemes locaux"
• Simpson's ICM talk: "Nonabelian Hodge theory" ICM talk
• Simpson "Ubiquity of variations of Hodge structure"
• Corlette's ICM talk: "Harmonic maps, rigidity, and Hodge theory"

More detailed:

• Goldman-Millson "The deformation theory of representations of fundamental groups of compact Kahler manifolds"
• Corlette "Flat G-bundles with canonical metrics"
• Simpson "Constructing variations of Hodge structure using Yang-Mills theory"
• Simpson "Higgs bundles and local systems"
• Simpson "The Hodge filtration on nonabelian cohomology"
• Hitchin's Duke paper "Stable bundles and integrable systems"