Algebra/Number Theory Seminar
Serre-type conjectures for projective representations
Chandrashekhar Khare, UCLA
Monday, June 8th, 2020
12:00 PM - 1:00 PM
Upstate NY online Number Theory colloquium, researchseminars.org
12:00 PM - 1:00 PM
Upstate NY online Number Theory colloquium, researchseminars.org
We consider automorphy of many representations of the form \(\bar \rho:G_K \rightarrow PGL_2(k)\) with \(K\) a CM field and \(k=F_3,F_5\). In particular we prove (under some mild conditions) that for \(F\) totally real, a surjective representation \(\bar \rho:G_F \rightarrow PGL_2(F_5)\) with totally odd sign character arises from a Hilbert modular form of weight \((2,\ldots, 2)\).
Event contact: dinesh dot thakur at rochester dot edu
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