Spherical varieties and langlands duality

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August undefined, 2024

Webquestion to purity of IC sheaves on aﬃne ﬂag varieties. Contents 1. Introduction. 2 1.1. Quantum groups, tilting modules and cohomology. 2 1.2. Koszul duality conjecture. 3 1.3. Plan of the paper. 4 1.4. Notations. 4 1.5. Acknowledgements 5 2. Coherent sheaves: exotic t-structure, and Positivity Lemma. 5 2.1. Exceptional sets and quasi ... WebJun 19, 2013 · We expect that this smoothness criterion holds for arbitrary spherical varieties. Keywords. horospherical variety arc space motivic integration stringy invariant. MSC classification. ... Gaitsgory, D. and Nadler, D., Spherical varieties and Langlands duality, Mosc. Math. J. 10 ...

Higgs Bundles, Branes and Langlands Duality SpringerLink

WebMentioning: 41 - Let G be a connected reductive complex algebraic group. This paper is devoted to the space Z of meromorphic quasimaps from a curve into an affine spherical … WebMar 19, 2012 · We prove that the stable parts of the parabolic Hitchin complexes for Langlands dual group are naturally isomorphic after passing to the associated graded of the perverse filtration. Moreover, this isomorphism intertwines the global Springer action on one hand and Chern class action on the other. rocky mountain food factory

The arc space of horospherical varieties and motivic integration

WebThe point is that spherical varieties have good combinatorics: they have now been classi ed (over C) in a way analogous to the classi cation of split reductive groups via root datum. … WebFeb 17, 2024 · Keywords: Spherical variety, Langlands dual group, root system, algebraic group, reductive group WebThe spherical Hecke algebra for an arbitrary reductive group 56 5.2. Satake isomorphism 57 5.3. The Langlands correspondence for an arbitrary reductive group 59 ... the Langlands duality is indeed closely related to the S-duality of quantum eld theory, and this opens up exciting possibilities for both subjects. The goal of these notes is two ... otto sony wh-1000xm4

Geometric Langlands duality and representations of algebraic …

Spherical varieties and langlands duality

Lectures on the Langlands Program and Conformal Field Theory

WebSpherical varieties and Langlands duality - CORE Reader WebThe de nition of a spherical variety either asks for an open orbit for the Borel subgroup, or it has a multiplicity 1 property for algebraic representations. In the case of G=H, this asks for every irreducible to appear at least once. So this is a nice niteness condition. Examples of spherical varieties are given by the following.

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WebSep 3, 2010 · Spherical Hall algebras of a weighted projective curve. ... Let H sph ⊂ H f in be the subalgebra generated by K and the characteristic functions 1 vec 1,d and 1 0,d of the connected components ... http://www-personal.umich.edu/~charchan/seminar/

WebIn the current proposal the PI proposes to develop an analog of several aspects of the so-called Langlands duality to affine Kac-Moody groups. More specifically, the PI proposes to study the spherical and Iwahori Hecke algebras for affine Kac-Moody groups as well as their geometric versions (some parts of that program have already been ... WebNov 10, 2006 · Spherical varieties and Langlands duality D. Gaitsgory, D. Nadler Published 10 November 2006 Mathematics arXiv: Representation Theory Let G be a connected …

WebHyperspherical varieties Microlocal perspective: focus on M = T /X /g not X. a ne Hamiltonian variety G M !g ishyperspherical2 if O(M)G is Poisson commutative. Require G … WebELECTRO-MAGNETIC DUALITY AND GEOMETRIC LANGLANDS DUALITY 3 1.1.2. New perspectives. (1) Prediction of elements of the geometric Langlands program for surfaces. This is the most exciting aspect as mathematicians have not been making much progress on this question, at least until the recent work of Braverman and Finkel-berg.

Webpaper studies the behavior of global Springer representations under Langlands duality. The main results in [Yun11] on which this paper relies will be reviewed in x1.3. 1.1 Motivations Let Gand G_be almost simple algebraic groups over an algebraic closed eld kwith dual root systems. We call them a pair of Langlands dual groups.

Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A otto sorg owingenWebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. Let G be a connected reductive complex algebraic group. This paper is devoted to the space Z of meromorphic quasimaps from a curve into an affine spherical G-variety X. The space Z may be thought of as an algebraic model for the loop space of X. The theory we develop … ottoson middle school powerschoolWebSPHERICAL VARIETIES AND LANGLANDS DUALITY DENNIS GAITSGORY AND DAVID NADLER Abstract. Let G be a connected reductive complex algebraic group. This paper is … ottoson adjusting and consulting group incWebJan 24, 2004 · LANGLANDS DUALITY AND ALGEBRAIC GROUPS] 97 let Rep Gˇ k stand for the category of k-representations of Gˇ k; here Gˇ denotes the canonical smooth split … rocky mountain free catalogWebFrom two di erent sources, one expects a certain S-duality on the set of hyperspher-ical varieties (this duality acts on the groups involved as well). First, this comes from the S-duality of boundary conditions in N= 4 super Yang-Mills theory [10,11]. Second, this comes from the relative Langlands duality [2]; for a trailer see [1] or [3, §1.7]. otto sons of anarchy glassesWebSep 8, 2024 · Spherical Varieties and Langlands Duality. Article. Dec 2006; MOSC MATH J; Dennis Gaitsgory; David Nadler; Let G be a connected reductive complex algebraic group. This paper is devoted to the ... rocky mountain frame sizeWebJan 18, 2004 · Spherical varieties and Langlands duality D. Gaitsgory, D. Nadler Mathematics 2006 Let G be a connected reductive complex algebraic group. This paper is … rocky mountain fs 22