Starts 19 Jun 2023 13:30
Ends 19 Jun 2023 14:30
Central European Time
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The Euclidean algorithm on number fields and related problems
ICTP
Leonardo Building - Luigi Stasi Seminar Room
Hybrid seminar
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Abstract: The Euclidean Algorithm is a method for determining the greatest common divisor of two integers. In this talk, we will study the Euclidean algorithm for integral domains, particularly focusing on the ring of integers of an algebraic number field. Specifically, we will explore the Euclidean algorithm for abelian number fields of small degrees and the Euclidean algorithm for ideal classes. If time permits, we will also discuss some of our recent results on class numbers of quadratic number fields. This is joint work with K. Srinivas, Jaitra Chattopadhyay, and Usha K Sangale.
Register in advance for this meeting:
https://zoom.us/meeting/register/tJwlcu6grjkiE9DZRUZ4e9v-WMowkvUM4Ris
After registering, you will receive a confirmation email containing information about joining the meeting.
Abstract: The Euclidean Algorithm is a method for determining the greatest common divisor of two integers. In this talk, we will study the Euclidean algorithm for integral domains, particularly focusing on the ring of integers of an algebraic number field. Specifically, we will explore the Euclidean algorithm for abelian number fields of small degrees and the Euclidean algorithm for ideal classes. If time permits, we will also discuss some of our recent results on class numbers of quadratic number fields. This is joint work with K. Srinivas, Jaitra Chattopadhyay, and Usha K Sangale.