Generalized loop Grassmannians.

Ivan Mirkovic

UMass Amherst

Brandeis University

Thursday, May 4, 2017

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 100 Goldsmith Hall


Abstract: Loop Grassmannians appear in the geometric Langlands program as a geometrization of Hecke operators in number theory. They are also ``the simplest'' noncommutative cohomology objects in algebraic geometry. We will reconstruct the loop Grassmannian of a reductive group in terms of an elementary mechanism of ``local spaces''. This is just another mathematical model of collision of particles, a version of the Beilinson-Drinfeld notion of factorization spaces or the Feigin-Loktev fusion of representations etc. This construction actually provides a larger class of spaces generalizing the known loop Grassmannians.

Home Web page: Alexandru I. Suciu Posted: April 22, 2017
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