The aim of the workshop is to understand the recent work of Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, and Benjamin Schraen in 2102.06188, 2009.03127 and by Yongquan Hu and Haoran Wang in 2009.09640 concerning the representations appearing in the Hecke eigenspaces of mod $p$ completed cohomology.
Talks and Q&A sessions. The talks and question and answer sessions will be held on Zoom . We will have two 90 minutes talks a day: one in the morning and one in the afternoon. See below for the schedule. The notes and recordings will be posted online.Please register for the school if you wish to attend Zoom talks live and take part in virtual social events. If you have registered already, please login to see the Zoom link.
Please use your real full name in the zoom meetings as a contribution to a friendly atmosphere at the spring school where all participants feel welcome and safe.
Live stream for the talks and Q&A sessions. If you cannot or do not want to use Zoom, or the connection to the Zoom servers is not good enough, or you do not want to register, you can follow the live stream.
Chat. The RocketChat server of the Essen Seminar for Algebraic Geometry and Arithmetic is open for all spring school participants. Please use the channel of the spring school to post questions (and answers ...) about mathematical or organizational matters. You can also send direct messages to other participants (after they have logged into the chat at least once), set up further public or private channels, do video calls, ...Please register for the school if you wish to use the chat server. If you have registered already, please login to see the link.
Coffee breaks at our GatherTown space. We have installed a GatherTown room, where you can meet, socialize and discuss Maths online! In this virtual space participants can "walk around" and video chat easily in small groups. The space is open now and will be open 24/7 till mid-May. Please, have a look! We especially encourage all participants to join for a "coffee break" at 3pm, before the second talk of each day.Please register for the school if you wish to join us at GatherTown. If you have registered already, please login to see the link.
All times are German times (CEST, Central European Summer Time).
| Monday, April 26 | ||
| 10:30am - 12:00pm | Benjamin Schraen | Cohomology of Shimura curves and Gelfand-Kirillov dimension, introduction |
| 3:00pm - 3:25pm | Coffee break in our GatherTown space | |
| 3:30pm - 5:00pm | Stefano Morra | The mod $p$ local Langlands correspondence for $GL_2(\mathbb Q_p)$ via $(\varphi,\Gamma)$-modules |
| Tuesday, April 27 | ||
| 10:30am - 12:00pm | Christophe Breuil | Serre weights and diagrams for $GL_2(\mathbb Q_{p^f})$ (a survey of [Breuil-Paškūnas]) |
| 3:00pm - 3:25pm | Coffee break in our GatherTown space | |
| 3:30pm - 5:00pm | Florian Herzig | Functor $D$ to $(\varphi,\Gamma)$-modules and a lower bound for $D(\pi)$ |
| Wednesday, April 28 | ||
| 10:30am - 12:00pm | Benjamin Schraen | Multivariable $(\varphi,\Gamma)$-modules |
| 3:00pm - 3:25pm | Coffee break in our GatherTown space | |
| 3:30pm - 5:00pm | Yongquan Hu | Self-duality of the cohomology; finiteness results in the semisimple case |
| shortly after the talk | Question and Answer session | |
| Thursday, April 29 | ||
| 10:30am - 12:00pm | Stefano Morra | Computation with multi-Hodge type deformation rings |
| 3:00pm - 3:25pm | Coffee break in our GatherTown space | |
| 3:30pm - 5:00pm | Florian Herzig | Lattices, patching, and multiplicity one for the Iwahori |
| Friday, April 30 | ||
| 10:30am - 12:00pm | Yongquan Hu | Finiteness results in the non-semisimple case |
| 3:00pm - 3:25pm | Coffee break in our GatherTown space | |
| 3:30pm - 4:45pm | Christophe Breuil | Conjectures for $GL_n$ |
| shortly after the talk | Question and Answer session | |
| After-party on GatherTown |