Intersection Theory on Stacks
Mar 11, 2002
to
Mar 15, 2002
Organizer(s)K. Behrend, W. Fulton, L. Katzarkov, M. Kontsevich, Y. Manin, R. Pandharipande, T. Pantev, B. Toen, and A. Vistoli
To apply for funding, you must
register by Fri, Dec 21 2001.
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 FundingTo apply for funding, you must
register by Fri, Dec 21 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.
Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory
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