Meetings/Workshops on Number Theory, Arithmetic in Mexico
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Langlands Program: Number Theory and Representation Theory
29 Nov 2020 - 04 Dec 2020 • Oaxaca, Mexico
Banff International Research Station for Mathematical Innovation and Discovery
Langlands functoriality conjectures predict a vast generalization of the classical reciprocity laws of Class Field Theory, providing crossroads between Number Theory and Representation Theory. The conjectures are both local and global and pertain a connected reductive group and its Langlands dual group.
Iwasawa Theory for GL(2) and Applications: Open Problems and New Directions
15 Aug 2021 - 20 Aug 2021 • Oaxaca, Mexico
Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada
One remarkable development in algebraic number theory over the last two decades is the proof of many cases of the main conjecture of Iwasawa theory for elliptic curves over the rational, leading to spectacular advances on the Birch and Swinnerton-Dyer conjecture. Over the past few years, the methods used to prove these results have been refined to remove some of their hypotheses and extended to other settings, but despite these improvements some important cases remain largely open. This workshop aims to foster new developments in these directions by clarifying the state of the art of the aforementioned results, identifying some of the technical limitations of the current methods, and encouraging the exchange of ideas between participants with different areas of expertise, while also bringing new researchers (recent PhDs and post-docs) in the area up to speed on current methods and results.
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Last updated: 08 July 2020