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Regular version of the site

Book

perspectives in representation theory

Vol. 610: perspectives in representation theory. Providence: American Mathematical Society, 2014.
Finkelberg M., Braverman A., Shiraishi J.
Academic editor: P. Etingof.

Let G be an almost simple simply connected complex Lie group, and let G/U be its base affine space. In this paper we formulate a conjecture which provides a new geometric interpretation of the Macdonald polynomials associated to G via perverse coherent sheaves on the scheme of formal arcs in the affinizationof G/U. We prove our conjecture for G=SL(N) using the so called Laumon resolution of the space of quasimaps. In the course of the proof we also give a K-theoretic version of the main result of Negut.

perspectives in representation theory