The Thursday morning seminar will be the “Research Training Group Seminar” where members of the RTG (PhD students, post-docs) present their results. Sometimes, we also have speakers from other places. Depending on the number of speakers and on the proposed topic, a speaker could use one or two sessions.

If you are interested in giving a talk in this seminar, please email me at ulrich.goertz@uni-due.de or simply talk to me at some point.

Currently, the seminar is conducted online. Email ulrich.goertz@uni-due.de for the access information.

Date	Speaker	Title
29.4.2021	No talk (Spring school )	–
6.5.2021	Lukas Brantner (Oxford)	Lie algebras, deformations, and Galois theory in characteristic $p$
20.5.2021	Lennart Gehrmann	Plectic Stark-Heegner points
27.5.2021	Virginie Gaillard	What is $(\mathrm{Spf} R)^{\mathrm{rig}}$? (after de Jong)
24.6.2021	Chirantan Chowdhury	Motivic homotopy theory of algebraic stacks
1.7.2021	General Assembly of the RTG	–
8.7.2021	Nils Plewe	Cycles in the period domain of marked complex tori
15.7.2021	Presentations by ALGANT Master Students	tba
22.7.2021	Luca Dall’Ava	Hida theory for Pizer’s quaternionic orders

Abstracts

Luca Dall’Ava – Hida theory for Pizer’s quaternionic orders

In this talk we discuss a quaternionic Control Theorem, in the spirit of Hida and Greenberg-Stevens, considering a generalization of Eichler orders proposed by Pizer. These orders allow higher level-structure at the primes where the quaternion algebra ramifies. In this setting, the Control Theorem recovers Hecke-eigenspaces of rank 2 and no more 1 as in the Eichler case. Time permitting, we will discuss its relation with the $p$-adic triple product $L$-function and the arithmetic motivations behind this study.