Mittagsseminar zur Arithmetik: Zhixiang Wu (Münster): On finite presentations of supersingular representations of GL2

Tuesday, 31.01.2023 10:15 im Raum SRZ 216/217

Mathematik und Informatik

Irreducible smooth representations of GL2(F) over characteristic p fields, where F is a finite extension of Qp, are classified up to supersingular representations. Understanding supersingular representations of GL2(Qp) was one of the first steps towards the mod p and p-adic local Langlands correspondence for GL2(Qp). However, the study of supersingular representations becomes more difficult when we change Qp to general F. In this talk, I will talk about a negative result that supersingular representations of GL2(F) are not of finite presentation whenever F is not Qp.

Angelegt am Monday, 30.01.2023 09:45 von harenbrh
Geändert am Monday, 30.01.2023 09:45 von harenbrh
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