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Titlebook: Algebraic Geometry and Number Theory; In Honor of Vladimir Victor Ginzburg Book 2006 Birkhäuser Boston 2006 Kac–Moody.Prime.algebra.algebra

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Local geometric Langlands correspondence and affine Kac-Moody algebras,ension of the formal loop agebra .((.)). Representations of . have a parameter, an invariant bilinear form on ., which is called the level. Representations corresponding to the bilinear form which is equal to minus one half of the Killing form are called representations of .. Such representations ca
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Integration in valued fields,ons for integration over local fields of large residue characteristic, extending results of Denef, Loeser, and Cluckers. The method depends on an analysis of definable sets up to definable bijections. We obtain a precise description of the Grothendieck semigroup of such sets in terms of related grou
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Crystalline representations and ,-crystals,teristic 0 analogues of the “shtukas” introduced by Drinfeld. We apply our results to give a classification of .-divisible groups and finite flat group schemes, conjectured by Breuil, and to show that a crystalline representation with Hodge-Tate weights 0, 1 arises from a .-divisible group, a result
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0743-1643 ominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld‘s own interests in algebra, algebraic geometry, and number theory..978-0-8176-4532-8Series ISSN 0743-1643 Series E-ISSN 2296-505X
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https://doi.org/10.1007/978-3-662-05328-7tions corresponding to the bilinear form which is equal to minus one half of the Killing form are called representations of .. Such representations can be realized in spaces of global sections of twisted .-modules on the quotient of the loop group .((.)) by its “open compact” subgroup ., such as .[[.]] or the Iwahori subgroup ..
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Consistent Histories and Decoherence,ysis of definable sets up to definable bijections. We obtain a precise description of the Grothendieck semigroup of such sets in terms of related groups over the residue field and value group. This yields new invariants of all definable bijections, as well as invariants of measure-preserving bijections.
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