Author:
Campbell Justin,Dhillon Gurbir,Raskin Sam
Abstract
In quantum geometric Langlands, the Satake equivalence plays a less prominent role than in the classical theory. Gaitsgory and Lurie proposed a conjectural substitute, later termed the fundamental local equivalence. With a few exceptions, we prove this conjecture and its extension to the affine flag variety by using what amount to Soergel module techniques.
Subject
Algebra and Number Theory
Reference49 articles.
1. Semi-infinite cohomology and the linkage principle for $\mathcal {W}$-algebras;Dhillon;Adv. Math,2021
2. FG06b Frenkel, E. and Gaitsgory, D. , Local geometric Langlands correspondence and affine Kac-Moody algebras, in Algebraic geometry and number theory, Progress in Mathematics, vol. 253 (Birkhäuser, Boston, MA, 2006), pp. 69–260; MR 2263193.
3. Gai08a Gaitsgory, D. , Notes on factorizable sheaves, Preprint (2008), available online at http://people.math.harvard.edu/gaitsgde/GL/FS.pdf.
4. Twisted geometric Langlands correspondence for a torus;Lysenko;Int. Math. Res. Not. (IMRN),2015
5. Ras16 Raskin, S. , Chiral principal series categories II: the factorizable Whittaker category, Preprint (2016), available online at https://web.ma.utexas.edu/users/sraskin/cpsii.pdf.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献