Geometric langlands correspondence pdf
WebDec 15, 2005 · Download PDF Abstract: These lecture notes give an overview of recent results in geometric Langlands correspondence which may yield applications to … Weban example of the geometric Langlands correspondence with wild ramification. We compute the de Rham cohomology of our connection with values in a representation Vof G, and describe the differential Galois group of ras a subgroup of G. 1. Introduction The Langlands correspondence relates automorphic representations of a split
Geometric langlands correspondence pdf
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WebLanglands Program, Field Theory, and Mirror Symmetry. Kazuki Ikeda. Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan … WebThis is the aspect of the geometric Langlands theory that has been developed the most. It will be discussed in Sects. 2 and 3. 1.2.2. Next there is the local rami ed geometric …
http://sitios.ucn.cl/~etgasparim/cons-lang.pdf Web2.4. The Langlands correspondence 31 Part II. The geometric Langlands Program 33 3. The geometric Langlands conjecture 33 3.1. Galois representations as local systems …
WebLocal Langlands correspondence (Vogan, Bernstein, Kaletha): Better to study representation theory of G(F) together with that of its extended pure inner forms. Geometric Langlands (Drinfeld, Gaitsgory): the "local Langlands category" should be the categorical Frobenius xed points of the category of Q ‘-sheaves on the loop group of G. WebIt develops the geometric Langlands Correspondence for Loop Groups, a new approach, from a unique perspective offered by af ne Kac Moody algebras. The theory offers fresh insights into the world of Langlands dualities, with many applications to Representation Theory of In nite-dimensional Algebras, and Quantum Field Theory.
Webthe geometric Langlands correspondence and this Mirror Symmetry, following [KW], as well as its ramified analogue [GW1]. In Section 6 we will discuss subsequent work and open questions. Acknowledgments. I thank Sergei Gukov, Vincent Lafforgue, Robert Langlands, and Edward Witten for inspiring discussions. I also thank S. Gukov and V ...
WebRobert Langlands in a letter to Andre Weil in 1967 [4]. More precisely, it is a corollary of the Langlands correspondence for G= GL 2 over Q. This part of the Langlands conjecture … spider woman costume kidsWebseen as a consequence of the Langlands correspondence for GL 2(Q p) and D×. The following theorem is the most difficult part of this correspondence (we will prove the easier part concerning reducible Galois representations, in the first part of this course). Theorem 1.2 (Jacquet-Langlands, Gelfand-Graev, Tunnell, Kutzko). There is a spider woman comic book valueWebAug 20, 2005 · Download PDF Abstract: By a local geometric Langlands correspondence for a complex reductive group G we understand a construction which assigns to a local system on the punctured disc for the Langlands dual group of G, a category equipped with an action of the formal loop group G((t)). We propose a … spider woman costume ideasWebgebraic geometry, mathematical physics, and quantum topology. One way to study this representation theory is through the geometric Satake correspondence (also known as … spider woman costume shirthttp://math.bu.edu/people/jsweinst/rampage/Hemo.pdf spider woman figpinWeb(U. of Chicago Geometric Langlands seminar, 10/99) Nearby Hecke Functors and Kac-Moody Modules 4pp. (U. of Chicago Geometric Langlands seminar, 6/00) Triangulated categories 16pp. (U. of Chicago Geometric Langlands seminar, 11/01) Differential operators on ind-schemes 12pp. (U. of Chicago Geometric Langlands seminar, 11/03) spider woman costume diyWebApr 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 ... spider woman horror movie