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Intersection Theory on Stacks |
| March 11, 2002 to March 15, 2002 |
| Organized By: K. Behrend, W. Fulton, L. Katzarkov, M. Kontsevich, Y. Manin, R. Pandharipande, T. Pantev, B. Toen, and A. Vistoli
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| Parent Programs: |
| Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory |
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| Participant List: |
| View a List of Registered Participants |
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The intersection theory on stacks was pioneered by H. Gillet and A. Vistoli. Later the work of M. Kontsevich and Y. Manin on the algebraic Gromov-Witten invariants required the full intersection theory machinery on Deligne-Mumford stacks. Several foundational results in this direction were obtained by Behrend-Fantechi and Fulton-Pandharipande. The theory was further developed by K. Behrend, D. Edidin, T. Graber, W. Graham, A. Kresch, R. Pandharipande and B. Toen. Many fundamental results with far reaching geometric applications were obtained. Among these we may mention: the Kunneth formula in quantum cohomology proven by Kontsevich and Manin; the localization formula for virtual classes proven by Graber-Pandharipande; the Lefschetz trace formula proven by K. Behrend; and the Riemann-Roch and GAGA theorems for Deligne-Mumford stacks proven by B. Toen. A connection with deformation theory was established by Kontsevich. All these topics as well as new applications will be discussed.
Group photo of participants |
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For more information:
Questions about this workshop should be sent either by email to
or by regular mail to:
Intersection Theory on Stacks
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.
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