Ruprecht-Karls-Universität Heidelberg
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„Automorphisms of finite order of semi-affinoid curves“
Dr. Daniele Turchetti, University of Caen

In this talk, I will present some features of automorphisms of finite order of semiaffinoid curves – a special kind of nonarchimedean analytic spaces – motivated by two arithmetic problems. In the first part, I will introduce a problem of Galois descent, asking to classify the forms of analytic discs and annuli under finite, tamely ramified, Galois extension. This problem is intimately related to semi-stable reduction, and the results I will present are joint work with Lorenzo Fantini. In the second part, I will talk about the role of automorphisms of semi-affinoid curves in the problem of lifting Galois covers of curves from characteristic p to characteristic zero.

Freitag, den 19. Mai 2017 um 13:30 Uhr, in INF205, SR A Freitag, den 19. Mai 2017 at 13:30, in INF205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Giulia Battiston