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# Documents  Scholze, Peter | enregistrements trouvés : 6

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## Local acyclicity in $p$-adic geometry Scholze, Peter | CIRM H

Post-edited

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.

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## Interview at CIRM: Peter Scholze Scholze, Peter | CIRM H

Post-edited

Outreach

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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## Perfectoid spaces: lectures from the 2017 Arizona winter school Bhatt, Bhargav ; Caraiani, Ana ; Kedlaya, Kiran S. ; Weinstein, Jared ; Scholze, Peter ; Cais, Bryden | American Mathematical Society 2019

Congrès

- xii; 297 p.
ISBN 978-1-4704-5015-1

Mathematical surveys and monographs , 0242

Localisation : Collection 1er étage

espace topologique # théorie des nombres # espace perfectoïde # espace adique

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## $P$-adic cohomology of the Lubin-Tate tower Scholze, Peter | CIRM

Multi angle

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).

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## The Witt vector affine Grassmannian Scholze, Peter | CIRM H

Multi angle

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.

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## Berkeley lectures on $p$-adic geometry Scholze, Peter ; Weinstein, Jared | Princeton University Press 2020

Ouvrage

- 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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