|
Organizers | Prof. Özlem Imamoglu, Prof. Alessandra Iozzi |
Assistant |
Pascal Rolli |
Place |
HG G 19.1 |
Time |
Tuesday, 15:15-17:00 |
First meeting |
Oct 4, 2011 |
Prerequisites |
Analysis I/II, Topology |
Date |
Speakers |
Topic |
References |
Oct 4 |
Organizational meeting |
||
Oct 11 |
Felix Hensel Waltraud Lederle Simone Montemezzani |
Completion of normed fields. Non-archimedean norms. p-adic norms. Definition of Qp. [Report] |
[K] §1.2-1.4 [S] §8 |
Oct 18 |
Ivo Aschwanden Adrian Clough Alexandros Grosdos Koutsoumpelias |
Equivalence of norms. Ostrowski's theorem. The product formula. [Report] |
[K] §1.9 [S] §9-10 |
Oct 25 |
Claudio Hüni Kathrin Naef Daniel Schmitter |
Definition of Zp using p-adic expansions. Arithmetic in Zp. Definition of Zp as an inverse limit. Qp as the fraction field of Zp. [Report] |
[K] §1.4-1.6 [R] §1.1.1-1.1.3, §1.5.1 |
Nov 1st |
Patrik Lengacher Linda Raabe Nicolas Wider |
Hensel's lemma. Algebraic properties of Zp and Qp. Local-to-global for squares. [Report] |
[K] §1.7-1.9
[R] §1.1.4-1.1.6 |
Nov 8 |
Giorgio Barozzi Esther Röder Samuel Trautwein |
Topological properties of Zp and Qp. Euclidean models. [Report] |
[K] §2.1-2.3 [R] §1.5.6 |
Nov 15 (in G19.2) |
Hannah Hutter May Szedlak Philipp Wirth |
Convergence of sequences and series. Power series. Strassman's theorem. p-adic logarithm and exponential. [Report] |
[K] §3.1-3.6 |
Nov 22 |
Ciocan Nicolae Stephan Tornier |
p-adic functions. Locally constant functions. Differentiability. [Report] |
[K] §4.1-4.4 |
Nov 29 |
Nina Otter Berke Topacogullari |
Antiderivatives. Dieudonné's theorem. [Report] |
[S] §30 |
Dec 6 |
Jan Dumke Vladimir Serbinenko Raphael Steiner |
Interpolation. Mahler series for continuous functions (and possibly for Lipschitz and differentiable functions). [Report] |
[K] §4.6 [S] §50-53 |
Dec 13 |
Additional meeting, if necessary |
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