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Schedule, Notes/Handouts & Videos

Non-Abelian Hodge Theory March 28, 2002 - April 05, 2002

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Mar 28, 2002
Thursday
08:00 AM - 05:00 PM
  An Introduction to Higher Non-Abelian Hodge Theory
Bertrand Toen
10:00 AM - 11:00 AM
  Twisted Higgs bundles and the fundamental group of compact Kahler manifolds
S. Ramanan
11:30 AM - 12:30 PM
  Representations of surface groups in unitary groups with indefinite signature
Oscar Garcia-Prada (Consejo Superior de Investigaciones Científicas (CSIC))
02:00 PM - 03:00 PM
  Branched hyperbolic structures and Rank 2 Higgs bundles
William Goldman (University of Maryland)
03:30 PM - 04:30 PM
  Higgs bundles and representation varieties
Eugene Xia
Mar 29, 2002
Friday
10:00 AM - 11:00 AM
  The gerbe of Higgs bundles
Ron Donagi (University of Pennsylvania)
11:30 AM - 12:30 PM
  Group valued Higgs bundles over a punctured elliptic curve
Eyal Markman
02:00 PM - 03:00 PM
  Intersection theory on the moduli space of Higgs bundles
Tamas Hausel
03:30 PM - 04:30 PM
  Higgs fields and variations of mixed Hodge structure
Gregory Pearlstein
Mar 30, 2002
Saturday
10:00 AM - 11:00 AM
  Higgs bundle spaces as mirror partners
Michael Thaddeus
11:30 AM - 12:30 PM
  Hitchin's connection, Higgs bundles and representations of the mapping class group
Jorgen Andersen
02:00 PM - 03:00 PM
  An integer valued SU(3) Casson invariant
Hans Boden (McMaster University)
03:30 PM - 04:30 PM
  Fundamental group of the moduli space of real and complex cubic surfaces
Domingo Toledo (University of Utah)
Apr 01, 2002
Monday
10:00 AM - 11:00 AM
  Iterated integrals and motives
Richard Hain (Duke University)
11:30 AM - 12:30 PM
  The Hodge conjecture for some moduli spaces of bundles
Donu Arapura
02:00 PM - 03:00 PM
  A Riemann-Roch theorem for (higher) determinantal gerbes and differentiable manifolds
Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Universe )
Apr 02, 2002
Tuesday
10:00 AM - 11:00 AM
  The theory of quasi-categories
Andre Joyal (Université du Québec à Montréal)
11:30 AM - 12:30 PM
  A counterexample to a 1961 theorem in homological algebra
Amnon Neeman (Universita degli Studi di Milano)
02:00 PM - 03:00 PM
  A language for higher categorical structures
Thomas Leinster
04:00 PM - 05:00 PM
  Formal deformations of sheaves of algebras
Vladimir Hinich (The University of Haifa)
Apr 03, 2002
Wednesday
10:00 AM - 11:00 AM
  p-Adic Hodge theory, part I
Gerd Faltings (Max-Planck-Institut für Mathematik)
11:30 AM - 12:30 PM
  Mixed Hodge structures and fiber bundles over the projective plane
Olivier Penacchio
02:00 PM - 03:00 PM
  The differential geometry of gerbes
Lawrence Breen
03:30 PM - 04:30 PM
  Sklyanin algebras and Hilbert schemes of points
Thomas Nevins (University of Illinois at Urbana-Champaign)
Apr 04, 2002
Thursday
10:00 AM - 11:00 AM
  p-Adic Hodge theory, part II
Gerd Faltings (Max-Planck-Institut für Mathematik)
11:30 AM - 12:30 PM
  A superficial overview of n-category theory
J. May
02:00 PM - 03:00 PM
  Non-abelian Hodge theory and schematization of homotopy types
Ludmil Katzarkov (University of Miami)
03:30 PM - 04:30 PM
  Higher Tannaka duality
Bertrand Toen (Centre National de la Recherche Scientifique (CNRS))
Apr 05, 2002
Friday
10:00 AM - 11:00 AM
  Topological aspects of stacks
Constantin Teleman (University of California, Berkeley)
11:30 AM - 12:30 PM
  Homotopy algebraic geometry
Gabriele Vezzosi (Università di Firenze)
02:00 PM - 03:00 PM
  Equivalences of derived categories of coherent sheaves
Dmitry Orlov (V. A. Steklov Institute of Mathematics)
03:30 PM - 04:30 PM
  n-Categories in Homology Theory
John Baez
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