Winter Term 2012 and Summer Term 2013 - Working Group on Number Theory


We meet in the lecture room of the library in the G-building.


Class Field Theory

We will study class field theory. We follow parts of Milne's lecture notes and Neukirch's book Klassenkörpertheorie (an English translation has been published by Springer).

Everyone is invited to join us!

Date Speaker Title
20/09/2012, 10:00 Gabor Wiese Introduction
04/10/2012, 9:00 Sara Arias-de-Reyna Lubin-Tate Formal Groups
11/10/2012, 9:00 Panagiotis Tsaknias Construction of the Extension K_pi
17/10/2012, 14:00 Panagiotis Tsaknias Construction of the Extension K_pi
25/10/2012, 9:00 Hoan-Phung Bui The Kronecker-Weber Theorem
08/11/2012, 9:00 Hoan-Phung Bui The Kronecker-Weber Theorem
15/11/2012, 9:00 Hoan-Phung Bui The Kronecker-Weber Theorem
22/11/2012, 9:00 Ilker Inam Cohomology
29/11/2012, 9:00 Ilker Inam Cohomology
06/12/2012, 9:00 Gabor Wiese Cohomology
13/12/2012, 9:00 Gabor Wiese Cohomology
20/12/2012, 9:00 Gabor Wiese Cohomology
10/01/2013, 9:00 Panagiotis Tsaknias The Tate groups
16/01/2013, 9:00 Panagiotis Tsaknias The Tate groups
07/02/2013, 9:00 Agnès David The cohomology of unramified extensions
14/02/2013, 9:00 Agnès David The cohomology of unramified extensions
21/02/2013, 13:30 Panagiotis Tsaknias The cohomology of ramified extensions
28/02/2013, 13:30 Hoan-Phung Bui The local Artin map
07/03/2013, 13:30 Sara Arias-de-Reyna The Hilbert symbol
14/03/2013, 13:30 Sara Arias-de-Reyna The Hilbert symbol (ctd.)
02/05/2013, 13:30 Gabor Wiese The Existence Theorem
15/05/2013, 14:15 Hoan-Phung Bui Ideles and Idele Classes
23/05/2013, 13:30 Panagiotis Tsaknias The cohomology of the idele group
30/05/2013, 13:30 Sara Arias-de-Reyna Cohomology of the idele class group
06/06/2013, 13:30 Agnès David Idele invariants
27/06/2013, 14:30 Gabor Wiese The reciprocity law
04/07/2013, 13:30 Gabor Wiese The existence theorem
11/07/2013, 13:30 Panagiotis Tsaknias The decomposition law
18/07/2013, 13:30 Hoan-Phung Bui Ideal theoretic formulation of class field theory


Work in progress

Everyone is invited to attend! For more information, please contact Gabor Wiese.

Date Speaker Title
04/10/2012, 11:00 Panagiotis Tsaknias A possible generalisation of Maeda's conjecture
11/10/2012, 11:00 Agnès David Around the Breuil-Mézard conjecture
17/10/2012, 16:00 Agnès David (continued)
25/10/2012, 11:00 Ilker Inam Sign equidistribution for half-integral weight modular eigenforms (1)
08/11/2012, 11:00 Gabor Wiese An application of Maeda's conjecture to the inverse Galois problem (1)
15/11/2012, 11:00 Ilker Inam Sign equidistribution for half-integral weight modular eigenforms (2)
22/11/2012, 11:00 -- no session --
29/11/2012, 11:00 Ian Kiming On the Theta operator modulo prime powers
06/12/2012, 11:00 Gabor Wiese An application of Maeda's conjecture to the inverse Galois problem (2)
13/12/2012, 11:00 Sara Arias-de-Reyna Equidistribution of signs of certain multiplicative functions
20/12/2012, 11:00 Benjamin Schraen On the p-adic Langlands correspondence
10/01/2013, 9:00 Gabor Wiese Serre weights and higher ramification groups
16/01/2013, 9:00 Gabor Wiese (continued)
07/02/2013, 9:00 -- no session --
14/02/2013, 11:00 Sara Arias-de-Reyna Abelian varieties with tame and surjective Galois representations
21/02/2013, 15:30 Sara Arias-de-Reyna (continued)
28/02/2013, 11:00 Soma Purkait (Bonn) Shimura Decomposition and Tunnell-like formulae
07/03/2013, 15:30 -- no session --
14/03/2013, 15:30 Christian Kappen (IEM Duisburg-Essen) How to compute the base change conductor of an analytic torus
16/05/2013, 13:30 Bas Edixhoven (Universiteit Leiden)Jacobians of singular curves


Last modification: 27 June 2013.