Publications mathématiques de Besançon - Algèbre et Théorie des nombres – numéro 2024

Publications mathématiques de Besançon - Algèbre et Théorie des nombres – numéro 2024

Gaetan BISSON – PhilippeLEBACQUE – Roger OYONO (edit. director)

2024 – ISBN : 978-2-38549-112-3 – 134 pages – book size : 19.5x26 cm

Revue : Publications mathématiques de Besançon

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Summary

This volume brings together the proceedings of the international conference "Algebraic Geometry, Number Theory and Applications" (GTA), which was held from 16 to 20 August 2021 at the University of French Polynesia. Important advances were presented in various fields, including the theory of global fields, algebraic geometry over finite fields, the theory of modular forms and abelian varieties, Drinfeld modules and information theory. Many of the research topics discussed were close to the heart of our late colleague Alexey Zykin, and we wanted to pay tribute to him with this even.

Contents

Minimal idempotency, partial idempotency, search heuristics and constructive algorithms for idempotent integers

B. Fagin

 

Congruences and the Iwasawa Main Conjecture for modular forms

Olivier Fouquet

 

Abelian varieties over F2 of prescribed order

Kiran S. Kedlaya

 

On the Kernel of the Gysin Homomorphism on Chow Groups of Zero Cycles

Rina Paucar et Claudia Schoemann

 

Exponentielle tronquée et autres contes galoisiens

Patrick Rabarison, Fabien Pazuki et Pascal Molin

 

The abcd conjecture, uniform boundedness, and dynamical systems

Robin Zhang

Author (s)
Gaetan BISSON (edit. director)
Gaetan Bisson is an associate professor at the University of French Polynesia and was previously a researcher at Microsoft and Macquarie University. He is a member of the GAATI laboratory (Algebraic Geometry and Application to Information Theory).
PhilippeLEBACQUE (edit. director)
Philippe Lebacque is an associate professor at the University of Franche-Comté (Besançon) and is a member of the Algebra and Number Theory team of the Besançon Mathematics laboratory.
Roger OYONO (edit. director)
Roger Oyono is an associate professor at the University of French Polynesia and director of the GAATI laboratory (Algebraic Geometry and Application to Information Theory).
Readership
Researchers in mathematics
downloadable items
Online
Support (s)
This journal is published with the support of the Laboratoire de Mathématiques de Besançon and the Centre Mersenne.