UCD School of Mathematics and Statistics Seminars

Anca Mustata

will speak on

On spaces of rational curves and their cohomology

Time: 9:30AM
Date: Tue 4th September 2007
Location: ENG226 [map]

Further information

Abstract: Kontsevich and Manin have introduced the moduli spaces of stable maps
to parametrize curves in complex projective manifolds. Cohomological
computations on these moduli spaces have provided solutions to
important enumerative problems regarding curves. In this talk I will
describe a new construction of the Kontsevich-Manin spaces for
rational curves, starting from the simpler example of the
Grassmannian of lines in the projective space. This new construction
allows us to understand the structure of their cohomology rings in a
natural, geometric way. This talk is based on joint work with Andrei
Mustata.

(This talk is part of the IMS September Meeting 2007 series.)

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