# 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.