The Algebra and Number Theory group of the University of Luxembourg hosts three seminars.

- The
**Luxembourg Number Theory Seminar**hosts invited speakers and takes place occasionally. - In the
**Research Seminar**the group members study a topic together; during term time the seminar takes place weekly. - In the
**Work in Progress Seminar**the group discusses its work in progress; during term time the seminar takes place weekly.

Unless announced otherwise, the seminars take place in the lecture room of the library in the G-building.

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

Date | Speaker | Title |

29/10/2014, 16:30 | Lassina Dembélé (Warwick) | Supercuspidal types and the Jacquet-Langlands correspondence for GL(2) |

18/11/2014, 11:30 (B04) | David Zywina (Cornell) | Families of abelian varieties and big monodromy |

15/04/2015, 16:00 | Mark Watkins (Magma group, Sydney) | Number Theory in Magma |

27/05/2015, 16:00 | Mladen Dimitrov (Lille) | Modular symbols on Hilbert modular varieties and p-adic L-functions |

Date | Speaker | Title |

17/09/2014, 14:15 | Laia Amorós | Arithmetic of quaternion algebras and Shimura curves |

17/09/2014, 15:30 | Hwajong Yoo | Multiplicity one problem for modular Jacobians at Eisenstein primes |

24/09/2014, 14:15 | Laia Amorós | Arithmetic of quaternion algebras and Shimura curves (ctd) |

24/09/2014, 15:30 | Hwajong Yoo | Multiplicity one problem for modular Jacobians at Eisenstein primes (ctd) |

01/10/2014, 14:15 | Laia Amorós | Arithmetic of quaternion algebras and Shimura curves (ctd) |

01/10/2014, 15:30 | Gabor Wiese | Certain finiteness questions in the arithmetic of modular forms |

08/10/2014, 14:15 | Laia Amorós | Arithmetic of quaternion algebras and Shimura curves (ctd) |

08/10/2014, 15:30 | Gabor Wiese | Certain finiteness questions in the arithmetic of modular forms (ctd) |

15/10/2014, 16:30 | Chun Yin Hui | l-independence of compatible system of (l-adic) representations |

22/10/2014, 16:30 | Chun Yin Hui | l-independence of compatible system of (l-adic) representations (ctd.) |

25/02/2015, 16:00 | Hwajong Yoo | Rational torsion points on Jacobians of Shimura curves |

11/03/2015, 16:00 | Gabor Wiese | On Galois representations attached to Hilbert modular forms of parallel weight one |

18/03/2015, 16:00 | Gabor Wiese | On Galois representations attached to Hilbert modular forms of parallel weight one (ctd.) |

25/03/2015, 16:00 | Gabor Wiese | On Galois representations attached to Hilbert modular forms of parallel weight one (ctd.) |

29/04/2015, 16:00 | Sara Arias-de-Reyna | Genus 3 curves and Galois realisations of GSp_6(F_l) |

13/05/2015, 14:15-15:45 | Jasper Van Hirtum | On the distribution of Frobenius of weight 2 newforms with quadratic coefficient field |

13/05/2015, 16:00-17:00 | Sara Arias-de-Reyna | Genus 3 curves and Galois realisations of GSp_6(F_l) (ctd.) |

Date | Speaker | Title |

15/10/2014, 14:15-15:45 | Chun Yin Hui | Representation theory of sl_2 and general approach to complex semisimple Lie algebras |

22/10/2014, 14:15-15:45 | Laia Amorós | Weights, Dynkin diagrams, and irreducible representations |

29/10/2014, 14:15-15:45 | Laia Amorós | Weights, Dynkin diagrams, and irreducible representations (ctd.) |

05/11/2014, 14:15-15:45 | Panagiotis Tsaknias | Chevalley basis |

12/11/2014, 14:15-15:45 | Panagiotis Tsaknias | Chevalley basis (ctd.) |

10/12/2014, 14:15-15:45 | Sara Arias-de-Reyna | Chevalley groups |

25/02/2015, 14:15-15:45 | Sara Arias-de-Reyna | Chevalley groups (ctd.) |

11/03/2015, 14:15-15:45 | Sara Arias-de-Reyna | Chevalley groups (ctd.) |

18/03/2015, 14:15-15:45 | Gabor Wiese | Simplicity of adjoint Chevalley groups |

25/03/2015, 14:15-15:45 | Gabor Wiese | Relation with algebraic groups |

01/04/2015, 14:15-15:45 | Gabor Wiese | Relation with algebraic groups (ctd.) |

15/04/2015, 14:15-15:45 | Hwajong Yoo | Reductive groups over algebraically closed fields and root data |

22/04/2015, 14:15-15:45 | Hwajong Yoo | Reductive groups over algebraically closed fields and root data (ctd.) |

29/04/2015, 14:15-15:45 | Hwajong Yoo | Reductive groups over algebraically closed fields and root data (ctd.) |

06/05/2015, 14:15-17:00 | Rajender Adibhatla | Galois cohomology and forms of reductive groups |

27/05/2015, 14:15-15:45 | Chun Yin Hui | t.b.a. |

**Mark Watkins (Sydney)** *Number Theory in Magma*

I will give some examples of doing number theoretical computations with Magma, for instance with modular forms, elliptic curves, hypergeometric motives, point counting on varieties, etc. No previous experience will be assumed, and some of the talk might simply be about Magma in general.

**David Zywina (Cornell)** *Families of abelian varieties and big monodromy*

To an abelian variety over a number field, for example the Jacobian of a curve, one can attach a representation that describes the Galois action on its torsion points. This representation encodes much of
the arithmetic of the abelian variety; in particular, it determines the abelian variety up to isogeny. We will study how the images of these representations vary over a family of abelian varieties and give some arithmetic consequences. (joint work with David Zureick-Brown)

**Chun Yin Hui** *l-independence of compatible system of (l-adic) representations *

For any compatible system of semisimple l-adic representations, let G_l be the monodromy group at l. We show that the semisimple rank and the number of A_n factors for all n belonging to N\{1,2,3,4,5,7,8} of G_l is independent of l.

Last modification: 25 May 2015.