Spherical varieties and langlands duality
WebOur conjectures describe a duality operation on spherical varieties, which exchanges automorphic and spectral quantizations (and may be seen as Langlands duality for … 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 ...
Spherical varieties and langlands duality
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Web4 rows · Nov 10, 2006 · Spherical varieties and Langlands duality. Let G be a connected reductive complex algebraic group. ... PDE-constrained inverse problems are some of the most challenging and … WebJan 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 reductive group scheme over k whose root datum is dual to that of G. The goal of this paper is to prove the following: (1.1) The categories PG O (Gr,k) and Rep Gˇ k are equivalent as …
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 … WebSpherical varieties and Langlands duality - CORE Reader
WebSep 10, 2011 · We can view this isomorphism as a version of the geometric Langlands duality in the formal neighborhood of the trivial local system, for the group GL r . We … WebFeb 6, 2024 · The gerbe of Higgs bundles. Transform Groups 7, 109–153 (2002) Article MathSciNet MATH Google Scholar. Donagi R., Pantev T.: Langlands duality for Hitchin systems. Invent Math. 189, 653–735 (2012) Article ADS MathSciNet MATH Google Scholar. Faltings G.: Stable G -bundles and projective connections. J.
Webthe classi cation of spherical varieties to that of wonderful varieties [11]. Knop proved that G=Hhas a wonderful compacti cation in [7, Corollary 7.6]. We now indicate why the four choices for Labove satisfy (L1) and (L2). If K ... Spherical varieties and Langlands duality, Mosc. Math. J. 10:1 (2010), 65{137.
Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A maslow\\u0027s hierarchy of needs wikihttp://www-personal.umich.edu/~charchan/seminar/ hyatt regency bloomington - minneapolisWebJan 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 … hyatt regency bloomington-minneapolisWebThe 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 ... hyatt regency bloomington mn websiteWebFrom 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]. hyatt regency bloomington minneapolisWebIt has long been suspected that the Langlands duality should somehow be related to various dualities observed in quantum field theory and string theory. Indeed, both the Langlands … hyatt regency bloomington mn airport parkingWebSpherical varieties are algebraic varieties equipped with an action of a certain type of algebraic group G subject to a finiteness condition. The type of G will be called reductive. … maslow\u0027s hierarchy of needs wikipedia