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Workshop

Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory January 10, 2002 - January 16, 2002
Registration Deadline: January 16, 2002 about 13 years ago
To apply for Funding you must register by: October 10, 2001 over 13 years ago
Parent Program: Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory
Organizers William Fulton, Ludmil Katzarkov, and Tony Pantev
Speaker(s)

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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
Thursday
02:00 PM - 03:00 PM
  What is a stack?
William Fulton (University of Michigan)
Jan 11, 2002
Friday
10:00 AM - 11:45 AM
  Review of abelian Hodge theory
Tony Pantev (University of Pennsylvania)
11:45 AM - 02:30 PM
  Topological stacks
Angelo Vistoli (Scuola Normale Superiore)
02:30 PM - 03:30 PM
  Cohomology of stacks: Cohomology of coherent sheaves
Kai Behrend (University of British Columbia)
Jan 12, 2002
Saturday
10:00 AM - 11:45 AM
  Non-abelian cohomology
Bertrand Toen (Université des Sciences et Techniques de Languedoc (USTL) (Montpellier II))
11:45 AM - 12:45 PM
  Intersection theory on DM stacks
Andrew Kresch
Jan 13, 2002
Sunday
10:30 AM - 11:45 AM
  Cohomology of stacks: Cohomology with discrete coefficients
Kai Behrend (University of British Columbia)
11:45 AM - 12:45 PM
  Non-abelian Hodge theory in degree one
Tony Pantev (University of Pennsylvania)
Jan 14, 2002
Monday
10:00 AM - 11:15 AM
  Moduli spaces of curves and combinatorial models
Rahul Pandharipande (Eidgenössische TH Zürich-Hönggerberg)
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 (University of British Columbia)
Jan 15, 2002
Tuesday
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 (Eidgenössische TH Zürich-Hönggerberg)
02:30 PM - 03:30 PM
  Higher non-abelian Hodge theory (1)
Tony Pantev (University of Pennsylvania)
Jan 16, 2002
Wednesday
10:00 AM - 11:15 AM
  Higher non-abelian Hodge theory (2)
Bertrand Toen (Université des Sciences et Techniques de Languedoc (USTL) (Montpellier II))
11:15 AM - 12:15 PM
  Quantization of Hitchin's Hamiltonians
David Ben-Zvi (University of Texas)