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Cohomological theory of crystals over function fields and applications. (English) Zbl 1386.11076
Bars, Francesc (ed.) et al., Arithmetic geometry over global function fields. Selected notes based on the presentations at five advanced courses on arithmetic geometry at the Centre de Recerca Matemàtica, CRM, Barcelona, Spain, February 22 – March 5 and April 6–16, 2010. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0852-1/pbk; 978-3-0348-0853-8/ebook). Advanced Courses in Mathematics – CRM Barcelona, 1-118 (2014).
Summary: This lecture series introduces in the first part a cohomological theory for varieties in positive characteristic with finitely generated rings of this characteristic as coefficients developed jointly with Richard Pink. In the second part various applications are given.
For the entire collection see [Zbl 1305.11001].

##### MSC:
 11G09 Drinfel’d modules; higher-dimensional motives, etc. 11F52 Modular forms associated to Drinfel’d modules 14F30 $$p$$-adic cohomology, crystalline cohomology
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