On the non-triviality of arithmetic invariants and its applications

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Dates : 22 junho 2020 » 03 julho 2020

Place : Hsinchu City
Taiwan

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Organizer : National Center for Theoretical Sciences (NCTS), Taiwan

Topic : Matemática e Estatística; Algebra
Matemática e Estatística;
Keywords: Algebra, Arithmetic, Geometry, Number Theory
Description :

One fruitful approach in algebraic number theory and arithmetic geometry is to study arithmetic invariants varying over families. In Iwasawa theory, one obtains p-adic families, for example, by varying number fields (as in classical Iwasawa theory) or by considering p-adic families of modular forms (as in Hida theory). The fact that studying arithmetic invariants over families is an important perspective in number theory is highlighted by Galois deformation theory, which played a crucial role in Fermat’s last theorem. One of the central themes of this program, is whether interesting arithmetic invariants (such as Iwasawa mu-invariant) associated to L-functions are generically non-trivial over families, which are often encoded by whether analytic invariants (such as special values of L-functions) are generically non-trivial modulo p. There have been numerous developments on the non-triviality of these arithmetic/analytic invariants, which have had various arithmetic applications (for instance, towards proving Iwasawa main conjectures). It is time to bring experts together to explore new ideas for the non-vanishing of L-values. Therefore, we plan to devote the first week of the program to a rigorous exposition of the ideas in the pioneering works, and the second week of the program will be devoted to the recent developments by some of the leading experts in the area.


On the non-triviality of arithmetic invariants and its applications to be held in Hsinchu City, Taiwan between 22 junho 2020 and 03 julho 2020. It is organised by National Center for Theoretical Sciences (NCTS), Taiwan. It covers specific areas of Matemática e Estatística such as Algebra. Visit the website of the conference for more detailed information or contact the organizer for specific questions.
Add to calendar 2020-06-22 2020-07-03 Europe/London On the non-triviality of arithmetic invariants and its applications https://www.sciencedz.net/pt/conference/62355-on-the-non-triviality-of-arithmetic-invariants-and-its-applications Hsinchu City - Taiwan National Center for Theoretical Sciences (NCTS), Taiwan

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Conferences and seminars in Matemática e Estatística in 2020
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Conferences and seminars in Matemática e Estatística in Taiwan in 2020
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