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Workshop — Density Problems in Arithmetics
03 Apr 2023 - 04 Apr 2023 • Luminy, France
Organizer:
CIRM - Jean-Morlet Chair
Abstract:
ln this workshop, we will consider variants of Artin's primitive root conjecture leading to the study of the Galois groups of various radical extensions. Beyond the case of the multiplicative group studied by Lenstra and others, there are now also interesting results for elliptic radicals, and for division points in more general abelian varieties. ln this context, the elliptic analogue of Artin's conjecture is the Lang-Trotter conjecture, which is still open after more than 40 years.
Event listing ID:
1476339
Related subject(s):
2
WORKSHOP — Density Problems in Arithmetics
03 Apr 2023 - 07 Apr 2023 • CIRM (Marseille Luminy) , France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Abstract:
ln this workshop, we will consider variants of Artin's primitive root conjecture leading to the study of the Galois groups of various radical extensions. Beyond the case of the multiplicative group studied by Lenstra and others, there are now also interesting results for elliptic radicals, and for division points in more general abelian varieties. ln this context, the elliptic analogue of Artin's conjecture is the Lang-Trotter conjecture, which is still open after more than 40 years.
Event listing ID:
1507512
Related subject(s):
3
Measured Group Theory, Stochastic Processes on Groups and Borel Combinatorics
22 May 2023 - 26 May 2023 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Abstract:
The proposed conference aims to bring together experts from different fields: group theory, ergodic theory, probability theory and descriptive set theory. The common interest is to study properties and invariants of infinite groups using various tools, like spectral theory, L2 theory, entropy, orbit equivalence, profinite methods, random walks and graph convergence. There is already considerable interaction between these fields and the proposed participants, but much more is needed. The conference will allow participants to assimilate each others language and will open new connections.
Event listing ID:
1502992


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Last updated: 7 September 2022