Geometric langlands
Websee the physical geometric Langlands correspondence is indeed analogous to the picture we have in mathematics. Starting with N= 4 super Yang-Mills theory on a four-dimensional manifold, we claim that the geometrical Langlands duality is physically understandable via mirror symmetries between http://www.stat.ucla.edu/~ywu/mirror.pdf
Geometric langlands
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WebDec 15, 2005 · Abstract: These lecture notes give an overview of recent results in geometric Langlands correspondence which may yield applications to quantum field … WebJan 24, 2004 · nally, our work can be viewed as providing the unramified local geometric Langlands correspondence. In this context it is crucial that one works on the geometric side also over fields other than C; this is easily done as the affine Grassmannian can be defined even over the integers. The modifications needed to do so are explained in …
WebApr 10, 2024 · A special case of the geometric Langlands correspondence is given by the relationship between solutions of the Bethe ansatz equations for the Gaudin model and opers-connections on the projective ... WebAug 25, 2024 · Anyway to conclude I believe the correct statement of local geometric Langlands is an equivalence of 2-categories. D ( L G) − m o d ≃ 2 I n d C o h N ( C o n n G ∨ ( D ⋆)) (plus of course a load of compatibilities, with Hecke operators, with Whittaker normalization, and more.) Share. Cite. Improve this answer. Follow. edited Aug 25 ...
WebFeb 11, 2024 · Posted on February 11, 2024 by woit. There’s various news to report on the geometric Langlands front, spanning number theory to quantum field theory: Minhyong Kim has been running an Online Mini-Conference on the Geometric Langlands Correspondence for the past month, and Dennis Gaitsgory has been doing something … WebGeometric Langlands, Khovanov Homology, String Theory. In 2006, Edward Witten, Charles Simonyi Professor in the School of Natural Sciences, cowrote with Anton Kapustin a 225-page paper, “Electric-Magnetic Duality and the Geometric Langlands Program ,” on the relation of part of the geometric Langlands program to ideas of the duality between ...
WebApr 14, 2024 · Abstract We explain how to calculate the dg algebra of global functions on commuting stacks using tools from Betti Geometric Langlands. Our main technical results include: a semi-orthogonal decomposition of the cocenter of the affine Hecke category; and the calculation of endomorphisms of a Whittaker sheaf in a diagram organizing parabolic …
Web[nuke] Geometric Langlands vs. Twistor Theory ve. String Theory? Which should I pursue? Viscount Deligne main contributions : Yau is Julius Caesar of the Math World : Confessions of a Tenured professor on Reddit. 1 2 3: If you could be a TT AP anywhere, where would you choose? 1 2 3 [nuke] Is my student telling me to back off? countries east of spainWebApr 14, 2024 · Abstract We explain how to calculate the dg algebra of global functions on commuting stacks using tools from Betti Geometric Langlands. Our main technical … countries easy to find jobsWebNov 16, 2024 · Langlands had expressed his scepticism regarding the “geometric Langlands program” already 2014 in Oxford at Symmetries and correspondences in number theory, geometry, algebra, physics.His talk was by video link, but the statements appear also in accompanying files that he had sent along, recorded here (search each of … countries east of russiaWebMay 20, 2003 · The article on the geometric Langlands program could serve as a concise introduction to this research. Of particular interest to the algebraist reader is the article by J.W. Cogdell on the Langlands conjectures for GL(n) since it touches on how to use automorphic representations to study the Galois group of an extension field. The use of ... brer rabbit s christmas carolIn mathematics, the geometric Langlands correspondence is a reformulation of the Langlands correspondence obtained by replacing the number fields appearing in the original number theoretic version by function fields and applying techniques from algebraic geometry. The geometric Langlands … See more In mathematics, the classical Langlands correspondence is a collection of results and conjectures relating number theory and representation theory. Formulated by Robert Langlands in the late 1960s, the Langlands … See more In a paper from 2007, Anton Kapustin and Edward Witten described a connection between the geometric Langlands correspondence and S-duality, a property of certain See more • Quotations related to Geometric Langlands correspondence at Wikiquote • Quantum geometric Langlands correspondence See more brer rabbit syrup historyWebFeb 26, 2024 · Geometrization of the local Langlands correspondence. Laurent Fargues, Peter Scholze. Following the idea of [Far16], we develop the foundations of the … countries east of francebrer rabbit summary