April 8, 2024
4:00 pm
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5:00 pm
MW 154
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2024-04-08 16:00:00
2024-04-08 17:00:00
Imaginary quadratic fields with p-torsion-free class groups and specified split primes
Title: Imaginary quadratic fields with p-torsion-free class groups and specified split primesSpeaker: Olivia Beckwith (Tulane University)Abstract: We study Ramanujan-type congruences for Hurwitz class numbers using harmonic Maass forms. As an application, we show that for any odd prime p and finite set of odd primes S, there exists an imaginary quadratic field which splits at each prime in S and has class number indivisible by p. This result is in the spirit of results by Bruinier, Bhargava (when p=3) and Wiles, but the methods are completely different. This is joint work with Martin Raum and Olav Richter.URL associated with Seminar: https://research.math.osu.edu/numbertheory/
MW 154
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2024-04-08 16:00:00
2024-04-08 17:00:00
Imaginary quadratic fields with p-torsion-free class groups and specified split primes
Title: Imaginary quadratic fields with p-torsion-free class groups and specified split primesSpeaker: Olivia Beckwith (Tulane University)Abstract: We study Ramanujan-type congruences for Hurwitz class numbers using harmonic Maass forms. As an application, we show that for any odd prime p and finite set of odd primes S, there exists an imaginary quadratic field which splits at each prime in S and has class number indivisible by p. This result is in the spirit of results by Bruinier, Bhargava (when p=3) and Wiles, but the methods are completely different. This is joint work with Martin Raum and Olav Richter.URL associated with Seminar: https://research.math.osu.edu/numbertheory/
MW 154
America/New_York
public
Title: Imaginary quadratic fields with p-torsion-free class groups and specified split primes
Speaker: Olivia Beckwith (Tulane University)
Abstract: We study Ramanujan-type congruences for Hurwitz class numbers using harmonic Maass forms. As an application, we show that for any odd prime p and finite set of odd primes S, there exists an imaginary quadratic field which splits at each prime in S and has class number indivisible by p. This result is in the spirit of results by Bruinier, Bhargava (when p=3) and Wiles, but the methods are completely different. This is joint work with Martin Raum and Olav Richter.
URL associated with Seminar: https://research.math.osu.edu/numbertheory/
