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Special SFB Seminar in Essen

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Stefan Müller-Stach and Peter Scholze

  • SFB-Kolloquium
When May 15, 2014
from 02:15 pm to 05:45 pm
Where Essen
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This Thursdays Seminar will take place at the Universität Duisburg-Essen. There will be two 90 Minute talks by Stefan Müller-Stach and Peter Scholze.

Stefan Müller-Stach: Perioden und Nori Motive (14:15--15:45)

Kontsevich-Zagier Periods are the ring of periods of algebraic varieties over number fields.  
We give an introduction to those numbers and show how one can use Nori's abelian category of mixed motives to get some structure into this set. 

Peter Scholze: Titel: p-adic etale cohomology of p-adic spaces (16:15--17.45)

For a rigid-analytic variety X over a p-adic field, finiteness statements for the l-adic etale cohomology, with l not equal to p, are available since the work of Berkovich and Huber. However, for p-adic coefficients such statements are often false, due to the presence of many Artin-Schreier type covers. However, using methods from p-adic Hodge theory, finiteness has now been proved for proper X. The methods of the proof also apply to the Lubin-Tate tower (which is far from proper!) if formulated carefully. The resulting p-adic cohomology groups of the Lubin-Tate tower should conjecturally see the p-adic local Langlands correspondence, just as the l-adic cohomology sees the classical local Langlands correspondence. We will try to give an idea of the techniques used to establish these finiteness results.