September 20, 2021
4:15PM - 5:15PM
Zoom
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2021-09-20 16:15:00
2021-09-20 17:15:00
On the effective open image theorem
Title: On the effective open image theorem
Speaker: Jacob Mayle (University of Illinois at Chicago)
Speaker's URL: https://homepages.math.uic.edu/~jmayle2/
Abstract: A celebrated theorem of Serre gives that if ℓ is sufficiently large, then the mod ℓ Galois representation of a non-CM elliptic curve E/ℚ is surjective. Serre asked if the largest non-surjective prime is always at most 37. We'll give an overview of the progress that has been made toward this question and discuss recent progress (joint with Tian Wang) in bounding the largest non-surjective prime.
URL associated with Seminar
https://research.math.osu.edu/numbertheory/
Zoom
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2021-09-20 16:15:00
2021-09-20 17:15:00
On the effective open image theorem
Title: On the effective open image theorem
Speaker: Jacob Mayle (University of Illinois at Chicago)
Speaker's URL: https://homepages.math.uic.edu/~jmayle2/
Abstract: A celebrated theorem of Serre gives that if ℓ is sufficiently large, then the mod ℓ Galois representation of a non-CM elliptic curve E/ℚ is surjective. Serre asked if the largest non-surjective prime is always at most 37. We'll give an overview of the progress that has been made toward this question and discuss recent progress (joint with Tian Wang) in bounding the largest non-surjective prime.
URL associated with Seminar
https://research.math.osu.edu/numbertheory/
Zoom
Department of Mathematics
math@osu.edu
America/New_York
public
Title: On the effective open image theorem
Speaker: Jacob Mayle (University of Illinois at Chicago)
Speaker's URL: https://homepages.math.uic.edu/~jmayle2/
Abstract: A celebrated theorem of Serre gives that if ℓ is sufficiently large, then the mod ℓ Galois representation of a non-CM elliptic curve E/ℚ is surjective. Serre asked if the largest non-surjective prime is always at most 37. We'll give an overview of the progress that has been made toward this question and discuss recent progress (joint with Tian Wang) in bounding the largest non-surjective prime.
URL associated with Seminar
https://research.math.osu.edu/numbertheory/
