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Documents  Scholze, Peter | enregistrements trouvés : 5

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Research talks;Algebraic and Complex Geometry;Number Theory

Motivated by applications to the geometric Satake equivalence and in particular the construction of the fusion product, we define a notion of universally locally acyclic for rigid spaces and diamonds, and prove that it has the expected properties.

14G22 ; 11S37 ; 11F80 ; 14F30

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Outreach;Mathematics Education and Popularization of Mathematics

Peter Scholze became known as a mathematician after finishing his Bachelor's degree in three semesters and his Master's degree in two further semesters. Scholze's subsequent PhD-thesis on Perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture.
He was made full professor shortly after completing his PhD, the youngest full professor in Germany.
Since July 2011 Scholze is a Fellow of the Clay Mathematics Institute. In 2012 he was awarded the Prix and Cours Peccot. He was awarded the 2013 SASTRA Ramanujan Prize. In 2014 he received the Clay Research Award. In 2015 he will be awarded the Frank Nelson Cole Prize in Algebra, and also the Ostrowski Prize.
According to the University of Bonn and to his peers, Peter is one of the most brilliant researchers in his field...
Peter Scholze became known as a mathematician after finishing his Bachelor's degree in three semesters and his Master's degree in two further semesters. Scholze's subsequent PhD-thesis on Perfectoid spaces yields the solution to a special case of the weight-monodromy conjecture.
He was made full professor shortly after completing his PhD, the youngest full professor in Germany.
Since July 2011 Scholze is a Fellow of the Clay Mathematics ...

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Research talks;Algebra;Number Theory

We prove a finiteness result on the $p$-adic cohomology of the Lubin-Tate tower, which allows one to go from mod $p$ and $p$-adic
$GL_n (F)$-representations to Galois representations (compatibly with some global cor-respondences).

14G22 ; 22E50 ; 14F30

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Research talks;Algebraic and Complex Geometry;Number Theory

(joint with Bhargav Bhatt) We prove that the space of $W(k)$-lattices in $W(k)[1/p]^n$, for a perfect field $k$ of characteristic $p$, has a natural structure as an ind-(perfect scheme). This improves on recent results of Zhu by constructing a natural ample line bundle on the space of such lattices.

13F35 ; 14G22 ; 14F30

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- x; 250 p.
ISBN 978-0-691-20208-2

Annals of mathematics studies , 0207

Localisation : Ouvrage RdC (SCHO)

géométrie algébrique # analyse $p$-adique # espace perfectoïde # concept de diamant # shtuka # groupe $p$-divisible # théorie $p$-adique de Hodge # espace de Rapoport-Zink

14-02

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