Math Colloquia

594

Date | Sep 13, 2018 |
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Speaker | 유화종 |

Dept. | 서울대 |

Room | 129-101 |

Time | 16:00-17:00 |

We introduce the notion of congruences (modulo a prime number) between modular forms of different levels. One of the main questions is to show the existence of a certain newform of an expected level which is congruent to a given modular form. (For instance, if a given modular form comes from an elliptic curve over the field of rational numbers, then this problem is known as "epsilon-conjecture".) We partially answer this question when a given modular form is an Eisenstein series.

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