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Department of Mathematics,
University of California San Diego

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Food For Thought

Andy Wilson

UCSD

Schubert Calculus

Abstract:

``Schubert calculus'' is the (somewhat misleading) name given to the classical branch of enumerative geometry which counts intersections of certain simple varieties like points, lines, and planes. Rather than actually doing any geometry, we'll find these intersection numbers with a combinatorial rule known as the Littlewood-Richardson rule. In particular, we'll show why the problem of counting the number of lines in $\mathbb{C}^3$ that intersect four generic lines is now considered to be ``just combinatorics.''

December 5, 2013

12:00 PM

AP&M 5402

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