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Modularity of some PGL(2,5) representations

The Golden Hourglass by Craig Schaffer
January 25, 2021
4:15PM - 5:15PM
Zoom: email the organizers for the link

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Add to Calendar 2021-01-25 16:15:00 2021-01-25 17:15:00 Modularity of some PGL(2,5) representations Speaker:  Patrick Allen (McGill University) Speaker's URL:  https://patrick-allen.github.io/ Abstract:  Serre's conjecture, proved by Khare and Wintenberger, states that every odd two dimensional mod p representation of the absolute Galois group of the rationals comes from a modular form. This admits a natural generalization to totally real fields, but even the real quadratic case seems completely out of reach. I'll discuss some of the difficulties one encounters and then discuss some new cases that can be proved when p = 5. This is joint work with Chandrashekhar Khare and Jack Thorne. URL associated with Seminar https://research.math.osu.edu/numbertheory/ Zoom: email the organizers for the link Department of Mathematics math@osu.edu America/New_York public

Speaker:  Patrick Allen (McGill University)

Speaker's URL:  https://patrick-allen.github.io/

Abstract:  Serre's conjecture, proved by Khare and Wintenberger, states that every odd two dimensional mod p representation of the absolute Galois group of the rationals comes from a modular form. This admits a natural generalization to totally real fields, but even the real quadratic case seems completely out of reach. I'll discuss some of the difficulties one encounters and then discuss some new cases that can be proved when p = 5. This is joint work with Chandrashekhar Khare and Jack Thorne.

URL associated with Seminar
https://research.math.osu.edu/numbertheory/

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