Essen Spring School towards a mod p Langlands correspondence (April 2021)
Organizers
: Ulrich Görtz, Jochen Heinloth, Vytautas Paškūnas
Talk notes
Talk 1:
Cohomology of Shimura curves and Gelfand-Kirillov dimension, introduction
(Benjamin Schraen)
Talk 2:
The mod $p$ local Langlands correspondence for $GL_2(\mathbb Q_p)$ via $(\varphi,\Gamma)$-modules
(Stefano Morra)
Talk 3:
Serre weights and diagrams for $GL_2(\mathbb Q_{p^f})$ (a survey of [Breuil-Paškūnas])
(Christophe Breuil)
Talk 4:
Functor $D$ to $(\varphi,\Gamma)$-modules and a lower bound for $D(\pi)$
(Florian Herzig)
Talk 5:
Multivariable $(\varphi,\Gamma)$-modules
(Benjamin Schraen)
Talk 6:
Self-duality of the cohomology; finiteness results in the semisimple case
(Yongquan Hu)
Talk 7:
Computation with multi-Hodge type deformation rings
(Stefano Morra)
Talk 8:
Lattices, patching, and multiplicity one for the Iwahori
(Florian Herzig)
Talk 9:
Finiteness results in the non-semisimple case
(Yongquan Hu)
Talk 10:
Conjectures for $GL_n$
(Christophe Breuil)
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