שלחו לחבר

Non-admissible modulo p representations of GL_2(Q_{p^2})

Seminar
Speaker
Prof. Eknath Ghate (Tata Institute of Fundamental Research, Mumbai)
Date
19/08/2020 - 11:30 - 10:30
Place
Zoom invitation below
Abstract

goes back to Harish-Chandra. Jacquet and Vigneras have shown that

smooth irreducible representations of connected reductive p-adic

groups over algebraically closed fields of characteristic different

The smooth irreducible representations of $\mathrm{GL}_2({\mathbb Q}_p)$

over $\bar{\mathbb F}_p$ are also known to be admissible, by the

work of Barthel-Livne, Breuil and Berger.  However, recently Daniel Le

constructed non-admissible smooth irreducible representations of

$\mathrm{GL}_2({\mathbb Q}_{p^f})$ over $\bar{\mathbb F}_p$

for f > 2, where ${\mathbb Q}_{p^f}$ is the unramified extension

of ${\mathbb Q}_p$ of  degree f. His construction uses a

diagram (in the sense of Breuil and Paskunas) attached to

an irreducible mod p representation of the Galois group of

${\mathbb Q}_{p^f}$.

We shall speak about a variant of Le's construction in the case f = 2

which uses instead a diagram attached to a reducible split representation

of the Galois group of ${\mathbb Q}_{p^2}$. This is joint work

with Mihir Sheth.

=======================================

Michael Schein is inviting you to a scheduled Zoom meeting.

Topic: BIU Algebra Seminar -- Ghate

Time: Aug 5, 2020 10:00 AM Jerusalem

Join Zoom Meeting

https://zoom.us/j/3185323623?pwd=NzJncWZVV1dJQXZSSDlralk1d3NsZz09

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תאריך עדכון אחרון : 29/07/2020