Termine

Di, 11.07.2017, 15:15
On the vanishing of cohomology for certain unitary Shimura varieties
AG-Seminar Algebra

Referent: Prof. Ana Caraiani (Harvard Univ. / z. Zt. Univ. Bonn)
Raum: S2|15 Raum 401

I will consider certain U(n,n)-Shimura varieties with infinite Gamma_1 level structure at p and prove that their compactly supported cohomology vanishes above the middle degree. This strengthens, in this situation, a theorem of Scholze on the vanishing of completed cohomology for Shimura varieties of Hodge type. The main ingredients are the anticanonical tower, which already becomes perfectoid at infinite Gamma_0level at p, and the decomposition of the Hodge-Tate period domain into Schubert cells. I will also discuss an application to Galois representations for torsion classes in the cohomology of locally symmetric spaces for GL_n. This is joint work in progress with A. Dotto, D. Gulotta, M. Gerbelli-Gauthier, C.Y. Hsu, C. Johansson, L. Mocz, E. Reineke, M. Santos, and S.C. Shih.

Adresse

Fachbereich Mathematik
Technische Universität Darmstadt

Gebäude S2|15
Schloßgartenstr. 7
64289 Darmstadt

 

Sekretariat

Raum: S2|15 K414
algebra@mathematik...

Tanja Douglas
 +49 6151 / 16-22461
Ute Fahrholz
 +49 6151 / 16-22460

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