Arithmetic, Geometry, Cryptography and Coding Theory

The 17th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGC2T-17) was held in Marseille, France, in 2019. The conference proceedings are included in this volume, dedicated to Gilles Lachaud, one of the founding fathers of the AGC2T series. The AGC2T meetings have been a platform for discussing advancements in arithmetic and algebraic geometry, coding theory, cryptography, and algorithmic complexity since 1987.

Format: Paperback / softback
Length: 301 pages
Publication date: 01 August 2021
Publisher: American Mathematical Society

The 17th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGC2T-17) was held from June 10th to 14th, 2019, at the Centre International de Rencontres Mathematiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since its inception in 1987, the biennial AGC2T meetings have been a platform for bringing together the foremost experts in arithmetic and algebraic geometry, as well as the connections to coding theory, cryptography, and algorithmic complexity. This volume showcases significant advancements in the field.

The AGC2T series has established itself as a premier forum for researchers to exchange ideas and collaborate on cutting-edge developments in these interconnected areas. The conference attracts attendees from around the world, representing a diverse range of disciplines and expertise.

The 17th AGC2T conference featured a wide range of presentations and discussions covering various aspects of arithmetic, geometry, cryptography, and coding theory. Some of the key topics discussed included:

Algebraic Geometry: The conference covered a broad range of topics in algebraic geometry, including commutative algebra, algebraic stacks, moduli spaces, and arithmetic geometry over finite fields. Researchers presented new results and techniques in these areas, highlighting the connections between algebraic geometry and other fields such as number theory, representation theory, and computer science.

Coding Theory: Coding theory is a fundamental aspect of information theory and computer science, and the AGC2T conference featured presentations on various coding schemes and their applications. Topics included error-correcting codes, cryptography, and data compression. Researchers discussed the theoretical foundations of coding theory and the challenges associated with designing efficient and secure coding systems.

Cryptography: Cryptography is a critical component of modern communication systems, and the AGC2T conference addressed the latest developments in cryptography and its applications. Topics included secure communication protocols, encryption algorithms, and password security. Researchers discussed the security vulnerabilities of existing cryptographic systems and proposed new solutions to improve their security.

Algorithmic Complexity: Algorithmic complexity is a fundamental aspect of computer science, and the AGC2T conference covered various topics related to algorithmic complexity analysis. Topics included the study of NP-complete problems, the design of efficient algorithms, and the analysis of computational complexity. Researchers presented new results and techniques in this area, highlighting the importance of efficient algorithms in solving complex problems.

The AGC2T conference also included a number of invited talks by renowned researchers in the field. These talks provided insights into the latest research trends and future directions in arithmetic, geometry, cryptography, and coding theory.

Overall, the 17th AGC2T conference was a successful event that brought together researchers from around the world to discuss the latest developments in these interdisciplinary areas. The conference provided a platform for researchers to exchange ideas, collaborate on research projects, and establish new connections.

The AGC2T series is expected to continue to play a vital role in advancing the field of arithmetic, geometry, cryptography, and coding theory in the years to come. We look forward to the 18th AGC2T conference, which will be held in 2021, and to the continued contributions of researchers in these areas.
The 17th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGC2T-17) was held from June 10th to 14th, 2019, at the Centre International de Rencontres Mathematiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since its inception in 1987, the biennial AGC2T meetings have been a platform for bringing together the foremost experts in arithmetic and algebraic geometry, as well as the connections to coding theory, cryptography, and algorithmic complexity. This volume showcases significant advancements in the field.

The AGC2T series has established itself as a premier forum for researchers to exchange ideas and collaborate on cutting-edge developments in these interconnected areas. The conference attracts attendees from around the world, representing a diverse range of disciplines and expertise.

The 17th AGC2T conference featured a wide range of presentations and discussions covering various aspects of arithmetic, geometry, cryptography, and coding theory. Some of the key topics discussed included:

Algebraic Geometry: The conference covered a broad range of topics in algebraic geometry, including commutative algebra, algebraic stacks, moduli spaces, and arithmetic geometry over finite fields. Researchers presented new results and techniques in these areas, highlighting the connections between algebraic geometry and other fields such as number theory, representation theory, and computer science.

Coding Theory: Coding theory is a fundamental aspect of information theory and computer science, and the AGC2T conference featured presentations on various coding schemes and their applications. Topics included error-correcting codes, cryptography, and data compression. Researchers discussed the theoretical foundations of coding theory and the challenges associated with designing efficient and secure coding systems.

Cryptography: Cryptography is a critical component of modern communication systems, and the AGC2T conference addressed the latest developments in cryptography and its applications. Topics included secure communication protocols, encryption algorithms, and password security. Researchers discussed the security vulnerabilities of existing cryptographic systems and proposed new solutions to improve their security.

Algorithmic Complexity: Algorithmic complexity is a fundamental aspect of computer science, and the AGC2T conference covered various topics related to algorithmic complexity analysis. Topics included the study of NP-complete problems, the design of efficient algorithms, and the analysis of computational complexity. Researchers presented new results and techniques in this area, highlighting the importance of efficient algorithms in solving complex problems.

The AGC2T conference also included a number of invited talks by renowned researchers in the field. These talks provided insights into the latest research trends and future directions in arithmetic, geometry, cryptography, and coding theory.

Overall, the 17th AGC2T conference was a successful event that brought together researchers from around the world to discuss the latest developments in these interdisciplinary areas. The conference provided a platform for researchers to exchange ideas, collaborate on research projects, and establish new connections.

The AGC2T series is expected to continue to play a vital role in advancing the field of arithmetic, geometry, cryptography, and coding theory in the years to come. We look forward to the 18th AGC2T conference, which will be held in 2021, and to the continued contributions of researchers in these areas.

Weight: 570g
Dimension: 181 x 257 x 20 (mm)
ISBN-13: 9781470454265