Representation of conductor three in cohomology of Lubin-Tate space of height two

Details Representation of conductor three in cohomology of Lubin-Tate space of height two Representation of conductor three in cohomology of Lubin-Tate space of height two

2011-11-08

arxiv.org/abs/1111.1893v1

Mathematics

Number Theory

26 pages

Scientific paper

We study representations of a Galois group and a division algebra which correspond to smooth irreducible representations of GL_2 with conductor less than or equal to three via the local Langlands correspondence and the local Jacquet-Langlands correspondence in cohomology of a Lubin-Tate space of height two. In fact, we calculate the stable reduction of a Lubin-Tate space of level three. Our study is purely local and includes the case where the characteristic of the residue field of a local field is two.

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