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Gerbal representations of double loop groups

WebXinwen Zhu (Chinese: 朱歆文; born 1982 in Sichuan) is a Chinese mathematician and professor at Stanford University.His work deals primarily with geometric representation theory and in particular the Langlands program, tying number theory to algebraic geometry and quantum physics.. Biography. Zhu obtained his A.B. in mathematics from Peking … WebFor any abelian category C satsifying (AB5) over a separated, quasi-compact scheme S, we construct a stack of 2-groups GL(C) over the flat site of S. We will give a concrete description of GL(C) when C is the category of quasi-coherent sheaves on a separated, quasi-compact scheme X over S. We will show that the tangent space gl(C) of GL(C) at …

朱歆文 - 维基百科，自由的百科全书

WebIn a similar way, double loop groups embed into a group of automorphisms of C((t))((s)), denoted by GL∞,∞, which has a non-trivial third cohomology. In this paper we explain … WebFrenkel, Edward and Zhu, Xinwen (2012) Gerbal representations of double loop groups. International Mathematics Research Notices, 2012 (17). pp. 3929-4013. edge of tomorrow filmyzilla https://swrenovators.com

Gerbal Representations of Double Loop Groups

WebJan 1, 2012 · We call them “gerbal representations”. We then construct a gerbal representation of (and hence of double loop groups), realizing its nontrivial third … WebLanglands duality for finite-dimensional representations of quantum affine algebras A rigid irregular connection on the projective line Any flat bundle on a punctured disc has an oper structure Gerbal Representations of Double Loop Groups Langlands duality for representations of quantum groups Instantons beyond topological theory II http://www.iga.adelaide.edu.au/workshops/April2013/adelaide4-4.pdf congressman back

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Gerbal representations of double loop groups

Gerbal Representations Of Double Loop Groups Book Pdf Download

WebAbstract. We prove the (generalized) coherence conjecture proposed by Pappas and Rapoport. As a corollary, one of their theorems, which describes the geometry of the special fibers of the local models for ramified unitary groups, holds unconditionally. Our proof is based on the study of the geometry (in particular, certain line bundles and ℓ ...

Gerbal representations of double loop groups

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Webcall them “gerbal representations.” We then construct a gerbal representation of GL∞,∞ (and hence of double loop groups), realizing its non-trivial third cohomology class, on a … WebJul 12, 2014 · We then construct a gerbal representation of (and hence of double loop groups), realizing its nontrivial third cohomology class, on a category of modules over an …

WebDec 5, 2024 · theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups. Another major topic of Webgerbal representations of double loop groups by Edward Frenkel, Xinwen Zhu , 2008 A crucial role in representation theory of loop groups of reductive Lie groups and their …

WebFrenkel E, Zhu X. (2012) Gerbal representations of double loop groups International Mathematics Research Notices. 2012: 3929 ... reciprocity laws on algebraic surfaces Algebra & Number Theory. 5: 289-337: Yun Z, Zhu X. (2011) Integral homology of loop groups via Langlands dual groups Representation Theory of the American … WebJul 15, 2014 · We then construct a gerbal representation of (and hence of double loop groups), realizing its nontrivial third cohomology class, on a category of modules over an infinite-dimensional Clifford algebra.

WebJan 1, 2012 · Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team. Learn More →

WebLanglands Correspondence for Loop Groups, Cambridge Studies in Advanced Mathe-matics 103, Cambridge University Press, 2007 (395 pp.). 3. Love and Math, Basic Books, 2013 (Paperback, 2014), 300 pp., translated into 18 ... Gerbal Representations of Double Loop Groups (with Xinwen Zhu), Int. Math. Res. Notices 2012 (17) 3929-4013 … congressman bankheadhttp://math.bu.edu/research/geom/Fall09/Zhu.pdf edge of tomorrow artWebA crucial role in representation theory of loop groups of reductive Lie groups and their Lie algebras is played by their non-trivial second cohomology classes which give rise to their … congressman bacon email