[Distinguished Lecture] Rigid complex local systems, integrality and $F$-isocrystals -

[Distinguished Lecture] Rigid complex local systems, integrality and $F$-isocrystals

发布时间：2017年11月08日浏览次数：6834 发布者: Meng Yu

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主讲人： Hélène Esnault (Free University of Berlin)

活动时间： 从 2017-12-11 14:00 到 15:00

场地： Room 77201, Jingchunyuan 78, BICMR

Abstract:

We prove that the monodromy of a cohomologically rigid integrable connection on a smooth complex projective variety is integral. This answers positively a special case of a conjecture by Carlos Simpson. To this aim, we use $F$-isocrystals and $\ell$-adic companions. Joint with Michael Groechenig.

Introduction of the Speaker:

Hélène Esnault is currently the Einstein Professor in Free University of Berlin. She is recognised as an international leader in arithmetic geometry. She has received many awards, including the Leibniz Prize (2003), ERC advanced grant (2009). She spoke in 2002 ICM and 2012 ECM. She is also a member of the German National Academy as well the Academy of Europe.

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