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

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

To apply for funding, you must register by Thu, Oct 25 2001. Click to Register

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

Important

Additional Lodging information

Directions to MSRI

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

Parent Program(s):
Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory

Questions about this workshop should be sent either by email to 137@msri.org
or by regular mail to:

Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory Mathematical Sciences Research Institute 17 Gauss Way, Berkeley, CA 94720-5070. USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.