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Lectures on the Langlands conjectures | Automorphic Forum
https://automorphicforum.wordpress.com/2012/02/07/lectures-on-the-langlands-conjectures
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Lectures on the Langlands conjectures. February 7, 2012 in number theory. One of the motivations of studying the Langlands Conjectures is the question. What are the finite extensions of the rational numbers? The local Langlands Conjectures give a dictionary between the Galois Theory of local fields and the representation theory of locally compact reductive groups. A Mind for Madness. Enter your comment here.
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Local factors of automorphic representations associated to paramodular forms in the span of Gritsenko lifts | Automorphic Forum
https://automorphicforum.wordpress.com/2012/12/01/local-factors-of-automorphic-representations-associated-to-paramodular-forms-in-the-span-of-gritsenko-lifts
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Local factors of automorphic representations associated to paramodular forms in the span of Gritsenko lifts. December 1, 2012 in automorphic forms. There are two well-known. Functions attached to Siegel modular forms of degree two. These are the Spin and the standard. Function. They have been studied by Andrianov, Böcherer, Shimura, and others. Other. Of cuspidal Jacobi newforms to. Were computed by Schmid...
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Representations of GSp(6,R) with trivial central character and highest weight vectors | Automorphic Forum
https://automorphicforum.wordpress.com/2012/07/05/representations-of-gsp6r-with-trivial-central-character-and-highest-weight-vectors
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Representations of GSp(6,R) with trivial central character and highest weight vectors. July 5, 2012 in representation theory. Consider the Lie group. Is the set of all. With real entries such that. A general element of. Is of the form. Is a 21-dimensional real vector space. We would like to describe its root system. A basis for this space is given below. We complexify the Lie algebra by tensoring with.
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Hyperelliptic curves, local L-factors, and automorphic representations | Automorphic Forum
https://automorphicforum.wordpress.com/2012/02/26/hyperelliptic-curves-local-l-factors-and-automorphic-representations
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Hyperelliptic curves, local L-factors, and automorphic representations. February 26, 2012 in algebraic geometry. Be a smooth projective variety of genus. Arithmetic information about the curve is encoded in its. The conjectures of Birch and Swinnerton-Dyer about elliptic curves over. Were generalized to arbitrary abelian varieties over number fields by John Tate. Function of the Jacobian at. We consider fi...
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Irreducible smooth admissible supercuspidal representations and fixed vectors | Automorphic Forum
https://automorphicforum.wordpress.com/2012/01/18/irreducible-smooth-admissible-supercuspidal-representations-and-fixed-vectors
Automorphic forms, number theory, representation theory, algebraic geometry, and other mathematics. Irreducible smooth admissible supercuspidal representations and fixed vectors. January 18, 2012 in representation theory. Be a connected reductive group over a nonarchimedean field. Be congruences subgroup of. Be an irreducible smooth admissible representation of. Contains a cuspidal representation. Contains an extension of. By Frobenius reciprocity,. Is irreducible, it must be isomorphic to. You are comme...
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OU Math Club | Page 2
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Skip to primary content. Skip to secondary content. Newer posts →. First Math Club Meeting of The Year. October 12, 2015. U of Oklahoma Math Club. Come one, come all! This Wednesday is the first meeting of the OU Math Club. This is an organizational meeting, so be sure to show up to help plan out activities for the rest of the year. Plus, if that is not already enough, there will be pizza. Here are the details:. When: Wednesday, October 14, at 5:30. Where: Math 209 (a.k.a The Math Center). One type of ti...
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U. of Oklahoma Math Club | OU Math Club
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Skip to primary content. Skip to secondary content. Author Archives: U. of Oklahoma Math Club. AA II Taking Over Math Club. April 26, 2016. U of Oklahoma Math Club. This Wednesday, April 27th, Dr. Savic’s Abstract Algebra II students will host an exhibition of children’s books and mobile apps about Abstract Algebra! Come and learn from their creative endeavors! The art exhibition will run from 6-7. From 5:30-6 there will be officer elections for next year. Here are the details:. April 19, 2016. When: Wed...