Ruprecht-Karls-Universität Heidelberg
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„Automorphic points in polarized deformation space“
Assistant Professor Patrick Allen, University of Illinois at Urbana-Champaign

Mazur’s deformation theory of Galois representations has played a central role in the study of Langlands reciprocity for number fields. For a fixed mod p automorphic Galois representation, p-adic automorphic Galois representations lifting it determine points in Mazur’s deformation space. In favourable situations, we expect these automorphic points to be Zariski dense. In the case of modular forms and under some technical conditions, Böckle showed that every component of deformation space contains a smooth modular point, which then implies their Zariski density when coupled with the infinite fern of Gouvêa and Mazur. I will discuss an improvement and generalization of Böckle’s result. When combined with work of Chenevier, this implies new results on the Zariski density of automorphic points in deformation space.

Freitag, den 22. April 2016 um 13:30 Uhr, in INF205, SR C Freitag, den 22. April 2016 at 13:30, in INF205, SR C

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Dr. Gebhard B¨ockle