Arrangements in the Schubert Calculus of Grassmannians.
Topology of Arrangements and Applications
October 07,2004 09:30 AM to 10:30 AM
Speakers:
Scherbak, Inna
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Summary: |
The lecture deals with zero-dimensional intersections of Schubert
cells in the Grassmannian of p-dimensional planes in the vector
space of compex polynomials in one variable. The cells are taken
with respect to osculating flags to the normal rational curve at
distinct points. It turns out that so-called non-degenerate planes
in these intersections are determined by the critical points of the
very ``master'' function that appeared in the hypergeometric
solutions to the KZ-equations and in the Gaudin model associated
with the Lie algebra sl_p. For generic choice of the distinct points
in the normal rational curve, all elements of the intersection are
non-degenerate. Thus generically, the corresponding hyperplane
arrangement controls the intersections of Schubert cells. |
Keywords: |
Hyperplane Arrangements |
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Lecture #10707
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