Pursuing the double affine Grassmannian II: Convolution

被引：9

作者：

Braverman, Alexander ^{[3
]}

Finkelberg, Michael ^{[1
,2
]}

机构：

[1] IITP, IMU, Moscow 101000, Russia

[2] Natl Res Univ Higher Sch Econ, Dept Math, Moscow 101000, Russia

[3] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

ADVANCES IN MATHEMATICS | 2012年 / 230卷 / 01期

关键词：

Affine Grassmannian; Convolution; Quiver varieties; GEOMETRIC LANGLANDS; SINGULARITIES; CATEGORIES; ALGEBRAS; SPACES;

D O I：

10.1016/j.aim.2011.12.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is the second paper of a series (started by Braverman and Finkelberg, 2010 [2]) which describes a conjectural analog of the affine Grassmannian for affine Kac-Moody groups (also known as the double affine Grassmannian). The current paper is dedicated to describing a conjectural analog of the convolution diagram for the double affine Grassmannian. In the case when G = SL(n) our conjectures can be derived from Nakajima (2009) [12]. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：414 / 432

页数：19

共 14 条

[1]

Beilinson A, Quantization of Hitchin's Integrable System and Hecke Eigensheaves

[2]

Braverman A, 2006, PROG MATH, V244, P17

[3] The spherical Hecke algebra for affine Kac-Moody groups I [J].