## Academic Year 2019/2020 - Number Theory Seminars

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 "work place" MNO 6B in the 6th floor of the Maison du Nombre in Esch-Belval.

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

#### Luxembourg Number Theory Seminar

**Date** | **Speaker** | **Title** |

26/09/2019, 14:00h | Vlad Serban (Vienna) | Higher-dimensional distributions of Frobenius traces |

#### Work in Progress Seminar

**Date** | **Speaker** | **Title** |

24/09/2019, 14:00 | Alexandre Maksoud | Iwasawa theory for weight one modular forms (I) |

01/10/2019, 14:00 | Alexandre Maksoud | Iwasawa theory for weight one modular forms (II) |

10/10/2019, 9:30 | Gabor Wiese | Integrality versus Ordinarity |

#### Working Group: Formal and Rigid Geometry

All references below are for Bosch: Lectures on Formal and Rigid Geometry, Springer.

**Date** | **Speaker** | **Title** |

01/10/2019, 11:00 | Emiliano Torti | Overview |

08/10/2019, 10:30 | Alexandre Maksoud | Tate Algebras |

tba | tba | tba |

#### Collection of abstracts

**Alexandre Maksoud (uni.lu) ** * Iwasawa theory for weight one modular forms *

In this talk we will first recall classical results in Iwasawa theory, then we will formulate and study an Iwasawa Main Conjecture in the context of classical newforms of weight one.

**Vlad Serban (Vienna) ** * Higher-dimensional distributions of Frobenius traces *

I will show how to extend the heuristics of Lang and Trotter on distributions of Frobenius traces for the Galois representation associated to elliptic curves to products of elliptic curves, highlighting the interesting features and the results motivating these predictions. I will also present some evidence for such conjectures. This is joint work with Hao Chen and Nathan Jones.

Last modification: 7 October 2019.