Shimura Varieties

Shimura Varieties. Thomas Haines

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Author: Thomas Haines
Published Date: 31 Dec 2019
Publisher: CAMBRIDGE UNIVERSITY PRESS
Language: English
Format: Paperback::320 pages
ISBN10: 1108704867
Publication City/Country: Cambridge, United Kingdom
Download: Shimura Varieties
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"On l-adic sheaves on Shimura varieties and their higher direct images in the Baily-Borel compactification." Mathematische Annalen 292.2 (1992): 197-240. When combined with Deligne's conception of Shimura varieties as parameter with Shimura varieties but not automorphic representations or motives will be Advanced Course on Shimura Varieties and L-functions. Saturday, October 17, 2009 - 10:00pm to Friday, October 23, 2009 - 9:59pm. Let F be a totally real field in which a prime number p>2 is inert. We continue the study of the (generalized) Goren Oort strata on quaternionic Shimura varieties SHIMURA VARIETIES: A HODGE-THEORETIC PERSPECTIVE. 3. Definition 1.1. An algebraic group G over a field k (of characteristic zero) is a smooth We construct natural Green forms for special cycles in orthogonal and unitary Shimura varieties, in all codimensions, and, for compact Shimura varieties of type Peter Scholze (Universit t Bonn) Shimura varieties with infinite level, and torsion in the cohomology of locally symmetric spaces. H�ckel, Bj�rn Abstract/Summary. Let s be a special point on a Shimura variety, and x a pre-image of s in a fixed fundamental set of the associated Hermitian We prove the Ax-Schanuel theorem for a general (pure) Shimura variety. Contact conditions to place varieties yielding intersections of excessive dimension in Preparation for the Workshop Special points on Shimura varieties.Lorentz Center, Leiden, 15 - 19 / XII / 2003. Organized Bas Edixhoven and Frans Oort. In order to algebraize mixed Shimura varieties and their compactifications, we have to torus-torsor structure on mixed Shimura varieties to turn certain toroidal H2020,HiCoShiVa,ERC-2018-COG,CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS(FR) If conjecture C is true for all Shimura varieties of the form Sh(CSp(V),S ) then it is true for all Shimura varieties of abelian type. All of the above continues to Overview on Shimura varieties and the moduli space of abelian varieties. 5. 4. Points on Shimura varieties as Galois representation. 8. 5. Generalized The topic for 2012-2013 is Shimura varieties roughly following Deligne's "Travaux de Shimura" after some preliminary discussion of analytic motivation and The main purpose of this paper is the definition of the -ordinary locus in good reductions of Shimura varieties of PEL-type and the proof that this locus is open tour de vari�t�s de Shimura unitaires (3L15 Institut de Math�matique d'Orsay. Of Geometry:Categories, Cycles and Cohomology of Hyperkahler Varieties I think a great introduction to this subject is given in two articles of J.S. Milne: one from the book James Arthur, David Ellwood, Robert Kottwitz Topics will include in particular the geometry and cohomology of Shimura varieties and more general locally symmetric spaces, or moduli spaces of shtukas. It has become common practice to treat the moduli problems represented these Shimura varieties as certain isogeny classes of weakly polarized abelian vari-. On the cohomology of some non-compact Shimura varieties. 1 Introduction. Let G be a connected reductive group over Q. Example. G = GLn. G = GSp2n. The Hasse-Weil zeta functions of varieties over number fields are conjec- turally products (and quotients) of automorphic L-functions. For a Shimura variety S

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