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Abstracts for Oberseminar Arithmetic Geometry and Representation Theory

Alternatively have a look at the program.

Introductory talk

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Speaker: 
Germán Stefanich
Affiliation: 
MPIM
Date: 
Fri, 11/10/2024 - 14:05 - 14:30
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

Introductory talk

Posted in
Speaker: 
Konstantinos Kartas
Affiliation: 
MPIM
Date: 
Fri, 11/10/2024 - 14:30 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

Introductory talk

Posted in
Speaker: 
Daniel Li-Huerta
Affiliation: 
MPIM
Date: 
Fri, 18/10/2024 - 14:05 - 14:30
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

Introductory talk

Posted in
Speaker: 
Kazuma Ohara
Affiliation: 
MPIM
Date: 
Fri, 18/10/2024 - 14:30 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

New supercuspidal representations from the Weil representation in characteristic two

Posted in
Speaker: 
David Schwein
Affiliation: 
Universität Bonn
Date: 
Fri, 08/11/2024 - 14:05 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

Residue characteristic two presents many additional difficulties in the construction of
supercuspidal representations, and even for classical groups, our knowledge is incomplete.
In this talk, based on joint work with Jessica Fintzen, I'll explain how to overcome
one such difficulty: the exceptional behavior of the Heisenberg group and Weil
representation in characteristic two. Time permitting, I'll discuss how to overcome
a second difficulty: disconnectedness of Lie algebra centralizers.

 

Uniqueness of six-functor formalisms [OS Arithmetic Geometry and Representation Theory]

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Speaker: 
Josefien Kuijper
Affiliation: 
Utrecht University
Date: 
Fri, 15/11/2024 - 14:05 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

In recent years, many efforts have been made to formalise, in the most efficient way,  Grothendieck’s six operations of sheaves (tensor product and internal hom, inverse and direct image, and exceptional inverse and direct image) and their properties. In addition, one might want to encode natural isomorphisms between the inverse image and exceptional inverse image for a certain class of “étale” morphisms, and between the direct image and the exceptional direct image for a class of “proper morphisms”.

Stability of elliptic Fargues-Scholze L-packets

Posted in
Speaker: 
Chenji Fu
Affiliation: 
MPIM
Date: 
Fri, 22/11/2024 - 14:05 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Oberseminar Arithmetic Geometry and Representation Theory

The local Langlands correspondence conjecturally partitions the irreducible representations of a p-adic group into the so-called L-packets. Such a partition is conjecturally to be characterized by the stability condition, which is proven in many cases (when a construction of the local Langlands correspondence for certain representations is available) using the theory of endoscopy. In this talk, we will show that for elliptic L-parameters, the construction of Fargues-Scholze satisfies the stability condition.

 

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