# Mathematical Sciences Research Institute

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 about 12 years ago October 10, 2001 over 12 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

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

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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.

## Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates 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. MSRI has preferred rates of$149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri. MSRI has preferred rates of$110 - \$140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

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

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Schedule
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 (ETH Zürich) 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 (ETH Zürich) 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)