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Home » Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory

Workshop

Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory January 10, 2002 - January 16, 2002
Registration Deadline: January 16, 2002 over 17 years ago
To apply for Funding you must register by: October 10, 2001 over 17 years ago
Parent Program:
Organizers William Fulton, Ludmil Katzarkov, and Tony Pantev
Speaker(s)

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Description
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
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

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MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Jan 10, 2002
Thursday
08:00 AM - 05:00 PM
  Moduli of elliptic curves
Rahul Pandharipande (ETH Zurich)
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 (Centre National de la Recherche Scientifique (CNRS))
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 (ETH Zurich)
11:15 AM - 02:30 PM
  Geometric class field theory
David Ben-Zvi (University of Texas, Austin)
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, Austin)
11:15 AM - 02:30 PM
  Moduli spaces of maps and GW theory
Rahul Pandharipande (ETH Zurich)
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 (Centre National de la Recherche Scientifique (CNRS))
11:15 AM - 12:15 PM
  Quantization of Hitchin's Hamiltonians
David Ben-Zvi (University of Texas, Austin)