# RTG Seminar

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.