Leonardo Mihalcea
MATHEMATICS COLLOQUIUM
Speaker: Leonardo Mihalcea
Abstract. The quantum cohomology ring of a flag manifold encodes
information about the enumerative geometry of the rational curves in the
manifold. A famous application from mid 1990's was Kontsevich's computation
of the number of rational curves in the projective plane of a fixed degree
d, which pass through 3d-1 general points. More recently, the "small" version
of this ring was related to Schubert Calculus on infinite dimensional flag
manifolds and to integrable systems, especially the Toda lattice.
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