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Workshop

Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory January 10, 2002 - January 16, 2002
To apply for Funding you must register by: October 25, 2001 over 11 years ago
Parent Program: Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory
Organizers William Fulton, Ludmil Katzarkov, and Tony Pantev
Speaker(s) Kai Behrend, David Ben-Zvi (University of Texas), Andrew Kresch, Rahul Pandharipande, Bertrand Toen, Angelo Vistoli
Description stacks

The field of algebraic stacks has gathered a huge momentum and is bound to become one of the main tools of the working mathematician. The subject relates to quantum cohomology and mirror symmetry, modern theoretical physics, geometric Langlands program and geometric representation theory, modern homotopy theory and symplectic geometry. This workshop, aimed at non-experts in the area, will cover four main topics: 1. Algebraic stacks and intersection theory Lecturers: W. Fulton, A. Kresch, A. Vistoli 2. Non-Abelian Hodge theory Lecturers: T. Pantev, B. Toen 3. Geometric Langlands Lecturer: D. Ben-Zvi 4. Derived deformation theory and formal costacks Lecturer: K. Behrend group photo of participants


Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.


Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.

A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

Additional lodging options (short term housing page - Short-term-housing

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Schedule
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Jan 10, 2002
02:00 PM - 03:00 PM
  What is a stack?
William Fulton
Jan 11, 2002
10:00 AM - 11:45 AM
  Review of abelian Hodge theory
Tony Pantev
11:45 AM - 02:30 PM
  Topological stacks
Angelo Vistoli
02:30 PM - 03:30 PM
  Cohomology of stacks: Cohomology of coherent sheaves
Kai Behrend
Jan 12, 2002
10:00 AM - 11:45 AM
  Non-abelian cohomology
Bertrand Toen
11:45 AM - 12:45 PM
  Intersection theory on DM stacks
Andrew Kresch
Jan 13, 2002
10:30 AM - 11:45 AM
  Cohomology of stacks: Cohomology with discrete coefficients
Kai Behrend
11:45 AM - 12:45 PM
  Non-abelian Hodge theory in degree one
Tony Pantev
Jan 14, 2002
10:00 AM - 11:15 AM
  Moduli spaces of curves and combinatorial models
Rahul Pandharipande
11:15 AM - 02:30 PM
  Geometric class field theory
David Ben-Zvi (University of Texas)
02:30 PM - 03:30 PM
  Cohomology of stacks: Cohomology of quotient stacks and DM stacks
Kai Behrend
Jan 15, 2002
10:00 AM - 11:15 AM
  Factorization
David Ben-Zvi (University of Texas)
11:15 AM - 02:30 PM
  Moduli spaces of maps and GW theory
Rahul Pandharipande
02:30 PM - 03:30 PM
  Higher non-abelian Hodge theory (1)
Tony Pantev
Jan 16, 2002
10:00 AM - 11:15 AM
  Higher non-abelian Hodge theory (2)
Bertrand Toen
11:15 AM - 12:15 PM
  Quantization of Hitchin's Hamiltonians
David Ben-Zvi (University of Texas)