On representations of $GL_n(\mathbb{Q}_p)$ in characteristic $p$.

Bibliographic description

title:	On representations of $GL_n(\mathbb{Q}_p)$ in characteristic $p$.
author:	Szumowicz Anna
reviewer:	Byszewski Jakub , Cynk Sławomir
advisor:	Byszewski Jakub
date of submittion :	2014-10-29
language:	Polish
abstract in Polish:	In the paper, we will show the classification of irreducible smooth representations of $GL_n(\mathbb{Q}_{p})$ over $\overline{\mathbb{F}}_p}$ following the work of Florian Herzig. The methods we will use in the thesis include changing weights, and the notions of Hecke algebras and Satake isomorphism.
abstract in English:	In the paper, we will show the classification of irreducible smooth representations of $GL_n(\\mathbb{Q}_{p})$ over $\\overline{\\mathbb{F}}_p}$ following the work of Florian Herzig. The methods we will use in the thesis include changing weights, and the notions of Hecke algebras and Satake isomorphism.
keywords in Polish:	mod $p$ Langlands program, admissible representations of a general linear group over local fields
keywords in English:	mod $p$ Langlands program, admissible representations of a general linear group over local fields
affiliation:	Wydział Matematyki i Informatyki
type:	master work

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