Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–396) ARITHMETIC MODELS FOR SHIMURA VARIETIES Georgios Pappas

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• Algebra
• Abstract algebra
• Geometry
• Group theory
• Lie groups
• Algebraic geometry
• Algebraic groups
• Shimura variety
• Reductive group
• Group action
• Group scheme
• Abelian variety

Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport James S. Milne November 11, 2009; v4.00 Abstract

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THREE LECTURES ON SHIMURA CURVES JOHN VOIGHT These notes are taken from a lecture series in three parts given at the University of Sydney in AprilIn the rst part, we introduce Shimura curves for the non-expert, a

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Study of an Isogeny Class James Stuart Milne Abstract This is a translation of: Etude d’une class d’isog´enie, in Vari´eti´es de Shimura et Fonctions L (Ed. L. Breen and J.P. Labesse), Publications Math´ematiques

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Automorphic Representations, Shimura Varieties, and Motives. Ein M¨ archen* R.P. Langlands 1. Introduction. It had been my intention to survey the problems posed by the study of zetafunctions of Shimura varieties. But I

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On the Zeta-Functions of Some Simple Shimura Varieties∗ by Robert Langlands 1. Introduction.

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The Torelli locus and special subvarieties Ben Moonen and Frans Oort Abstract. We study the Torelli locus Tg in the moduli space Ag of abelian varieties. We consider special subvarieties (Shimura subvarieties) contained

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Review of: Shimura, Collected Papers J.S. Milne∗ December 22, 2003; March 26, 2004 MR classification: 01A75; 11-03, When Weil arrived in Tokyo in 1955, planning to speak about his ideas on the extension to abeli

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ARITHMETIC PROPERTIES OF THE SHIMURA-SHINTANI-WALDSPURGER CORRESPONDENCE KARTIK PRASANNA with an appendix by BRIAN CONRAD 1

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1994bP FINAL VERSION; FINAL FORM. SHIMURA VARIETIES AND MOTIVES J. S. Milne

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