geometric representation theory
representation, 2-representation, ∞-representation
Grothendieck group, lambda-ring, symmetric function, formal group
principal bundle, torsor, vector bundle, Atiyah Lie algebroid
Eilenberg-Moore category, algebra over an operad, actegory, crossed module
Beĭlinson-Bernstein localization theorem
A. Beilinson, J. Bernstein, Localization de -modules, C.R. Acad. Sci. Paris, 292 (1981), 15-18, MR82k:14015, Zbl 0476.14019
A. Beilinson, Localization of representations of reductive Lie algebra, Proc. of ICM 1982, (1983), 699-716. Zbl 0571.20032
Valery Lunts, Alexander Rosenberg, Localization for quantum groups, Selecta Math. (N.S.) 5 (1999), no. 1, pp. 123–159, MR2001f:17028, doi; Differential calculus in noncommutative algebraic geometry I. D-calculus on noncommutative rings, MPI 1996-53 pdf, II. D-Calculus in the braided case. The localization of quantized enveloping algebras, MPI 1996-76 pdf
Edward Frenkel, Dennis Gaitsgory, Localization of -modules on the affine Grassmannian, Ann. of Math. (2) 170 (2009), no. 3, 1339–1381, MR2600875, doi
Toshiyuki Tanisaki, The Beilinson-Bernstein correspondence for quantized enveloping algebras, Math. Z. 250 (2005), no. 2, 299–361, MR2006h:17025, doi math.QA/0309349;
H. Hecht, D. Miličić, W. Schmid, J. A. Wolf, Localization and standard modules for real semisimple Lie groups, I: The Duality Theorem Zbl 0699.22022, MR910203, II: Applications,