Yves André

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Yves André (* 1959 ) is a French mathematician who studies arithmetic geometry.

Yves André, Oberwolfach 2007

Life

André received his doctorate in 1984 at the University of Paris VI with Daniel Bertrand ( Structure de Hodge, équations différentielles p-adiques, et indépendance algébrique de périodes d'intégrales abéliennes ) He taught at the University of Paris VI and the École normal supérieure .

With Frans Oort he established the André-Oort conjecture about special sub -varieties of Shimura varieties , in a preliminary form by André in 1989, and in a more general form in 1995 by Oort. So far only partial results have been proven (e.g. by André himself and e.g. by Jonathan Pila ). 2016 he proved the presumption of direct summands of Melvin Hochster from the commutative algebra with that of Peter Scholze developed method of perfektoiden rooms .

He received the Prix ​​Paul Doistau-Émile Blutet of the Académie des Sciences. In 2015 he was elected to the Academia Europaea . He is a lecturer at the ICM 2018 in Rio de Janeiro (Perfectoid spaces and the homological conjectures).

Fonts

  • Period mappings and differential equations. From C to Cp . Tōhoku-Hokkaidō lectures in arithmetic geometry, Tokyo, Memoirs Mathematical Society of Japan 2003 (with appendix by F. Kato, N. Tsuzuki)
  • G-functions and geometry . A publication of the Max Planck Institute for Mathematics, Bonn, Aspects of Mathematics, Vieweg 1989
  • with Francesco Baldassarri : De Rham cohomology of differential modules on algebraic varieties . Birkhäuser, 2001
  • An introduction to the motives . In: Panoramas et Synthèses , 17, SMF 2004
  • Galois theory, motives and transcendental numbers . In: Renormalization and Galois Theory . IRMA Lectures in Math. Theor. Phys., 15, 2009, pp. 165-177

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ^ G-functions and geometry , Vieweg 1989
  3. ^ Yves André: La conjecture du facteur direct . 2016, arxiv : 1609.00345 .
  4. ^ Bhargav Bhatt: On the direct summand conjecture and its derived variant . 2016, arxiv : 1608.08882v1 .
  5. ↑ 2018, arxiv : 1801.10006
personal data
SURNAME André, Yves
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 1959