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.