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Arithmetic, Geometry, Cryptography, and Coding Theory 2021
About this Title
Samuele Anni, Aix-Marseille Université, Marseille, Cedex, France, Valentijn Karemaker, Universiteit Utrecht, Utrecht, The Netherlands and Elisa Lorenzo García, Université de Neuchâtel, Neuchâtel, Switzerland, Editors
Publication: Contemporary Mathematics
Publication Year: 2022; Volume 779
ISBNs: 978-1-4704-6794-4 (print); 978-1-4704-7089-0 (online)
This volume contains the proceedings of the 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, held (online) from May 31 to June 4, 2021.
For over thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers together to forge connections between arithmetic geometry and its applications to coding theory and to cryptography.
The papers illustrate the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois representations attached to elliptic curves, reconstruction of curves from their Jacobians, isogeny graphs of abelian varieties, hypergeometric equations, and Drinfeld modules.
Graduate students and research mathematicians interested in arithmetic, geometry, cryptography, and coding theory.
Table of Contents
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- Daniele Agostini, Türkü Özlüm Çelik and Demir Eken – Numerical reconstruction of curves from their Jacobians
- Stéphane Ballet, Alexis Bonnecaze and Bastien Pacifico – A strategy to optimize the complexity of Chudnovsky-type algorithms over the projective line
- Peter Beelen, Maria Montanucci and Lara Vicino – On the constant $D(q)$ defined by Homma
- Francesco Campagna and Riccardo Pengo – How big is the image of the Galois representations attached to CM elliptic curves?
- Wouter Castryck and Thomas Decru – Multiradical isogenies
- Özlem Ejder – Arithmetic monodromy groups of dynamical Belyi maps
- Enric Florit and Benjamin Smith – Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph
- Kiran S. Kedlaya – Frobenius structures on hypergeometric equations
- Fabien Pazuki – The regulator dominates the rank
- Bjorn Poonen – Introduction to Drinfeld modules