Seminar
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| Location: | SLMath: Online/Virtual |
This seminar will focus on Diophantine problems in a broad sense, with a view towards (but not limited to) interactions between Number Theory and Logic. Particular attention will be given to topics with the potential of further developments in the context of this MSRI scientific program. This will provide an opportunity for researchers to update on new results, techniques and some of the main problems of the field.
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
We will describe the Chabauty--Coleman method and related techniques to determine rational points on curves. In so doing, we will highlight some recent examples where these methods have been used: this includes a problem of Diophantus originally solved by Wetherell and the problem of the "cursed curve", the split Cartan modular curve of level 13.
This is joint work with Netan Dogra, Steffen Mueller, Jan Tuitman, and Jan Vonk.