Lucant Lmfdb Computation And Number Theory

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Lucant Lmfdb Computation And Number Theory

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Author : John Cremona
language : en
Publisher: American Mathematical Soc.
Release Date : 2024-03-22

Lucant Lmfdb Computation And Number Theory written by John Cremona and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-22 with Mathematics categories.

This book will be published Open Access with a Creative Commons Attribution 4.0 International License (CC BY 4.0). The eBook can be downloaded electronically for free. This volume contains the proceedings of the LuCaNT (LMFDB, Computation, and Number Theory) conference held from July 10–14, 2023, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island and affiliated with Brown University. This conference provided an opportunity for researchers, scholars, and practitioners to exchange ideas, share advances, and collaborate in the fields of computation, mathematical databases, number theory, and arithmetic geometry. The papers that appear in this volume record recent advances in these areas, with special focus on the LMFDB (the L-Functions and Modular Forms Database), an online resource for mathematical objects arising in the Langlands program and the connections between them.

Number Theoretic Methods In Cryptology

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Author : Andrzej Dąbrowski
language : en
Publisher: Springer Nature
Release Date : 2025-02-18

Number Theoretic Methods In Cryptology written by Andrzej Dąbrowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-18 with Computers categories.

This book constitutes the refereed post-conference proceedings of the 4th International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2024, held in Szczecin, Poland, during June 24–26, 2024. The 9 full papers and 2 invited papers presented in this book were carefully reviewed and selected from 12 submissions. They were organized in topical sections as follows: invited talks; elliptic curves in cryptography; number theory; algebraic structures and public-key cryptography.

Group Actions And Equivariant Cohomology

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Author : Loring W. Tu
language : en
Publisher: American Mathematical Society
Release Date : 2024-11-26

Group Actions And Equivariant Cohomology written by Loring W. Tu and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-26 with Mathematics categories.

This volume contains the proceedings of the virtual AMS Special Session on Equivariant Cohomology, held March 19?20, 2022. Equivariant topology is the algebraic topology of spaces with symmetries. At the meeting, ?equivariant cohomology? was broadly interpreted to include related topics in equivariant topology and geometry such as Bredon cohomology, equivariant cobordism, GKM (Goresky, Kottwitz, and MacPherson) theory, equivariant $K$-theory, symplectic geometry, and equivariant Schubert calculus. This volume offers a view of the exciting progress made in these fields in the last twenty years. Several of the articles are surveys suitable for a general audience of topologists and geometers. To be broadly accessible, all the authors were instructed to make their presentations somewhat expository. This collection should be of interest and useful to graduate students and researchers alike.

Public Key Cryptography Pkc 2025

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Author : Tibor Jager
language : en
Publisher: Springer Nature
Release Date : 2025-05-07

Public Key Cryptography Pkc 2025 written by Tibor Jager and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-07 with Computers categories.

The five-volume set LNCS 15674-15678 constitutes the refereed proceedings of the 28th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2025, held in Røros, Norway, during May 12–15, 2025. The 60 papers included in these proceedings were carefully reviewed and selected from 199 submissions. They are grouped into these topical sections: MPC and friends; advanced PKE; security of post-quantum signatures; proofs and arguments; multi-signatures; protocols; foundations of lattices and LPN; threshold signatures; isogenies and group actions; secure computation; security against real-world attacks; batch arguments and decentralized encryption; and cryptography for blockchains.

A Glimpse Into Geometric Representation Theory

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Author : Mahir Bilen Can
language : en
Publisher: American Mathematical Society
Release Date : 2024-08-07

A Glimpse Into Geometric Representation Theory written by Mahir Bilen Can and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-07 with Mathematics categories.

This volume contains the proceedings of the AMS Special Session on Combinatorial and Geometric Representation Theory, held virtually on November 20–21, 2021. The articles offer an engaging look into recent advancements in geometric representation theory. Despite diverse subject matters, a common thread uniting the articles of this volume is the power of geometric methods. The authors explore the following five contemporary topics in geometric representation theory: equivariant motivic Chern classes; equivariant Hirzebruch classes and equivariant Chern-Schwartz-MacPherson classes of Schubert cells; locally semialgebraic spaces, Nash manifolds, and their superspace counterparts; support varieties of Lie superalgebras; wreath Macdonald polynomials; and equivariant extensions and solutions of the Deligne-Simpson problem. Each article provides a well-structured overview of its topic, highlighting the emerging theories developed by the authors and their colleagues.

Macdonald Theory And Beyond

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Author : Daniel Orr
language : en
Publisher: American Mathematical Society
Release Date : 2025-03-27

Macdonald Theory And Beyond written by Daniel Orr and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-27 with Mathematics categories.

This volume contains the proceedings of the AMS Special Session on Macdonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, held virtually on March 19?20, 2022. The articles in this volume represent a number of recent developments in the theory of Macdonald polynomials while highlighting some of its many connections to other areas of mathematics. An important common thread throughout the volume is the role of combinatorial formulas?for Macdonald polynomials themselves as well as operations on them arising from rich additional structures. The articles of Haglund, Mandelshtam, and Romero concern the type A Macdonald polynomials, which remain a major focus of the subject due to the depth of their combinatorial theory and the power of their specific applications. For arbitrary type Macdonald polynomials, a new combinatorial formula with pseudo-crystal structure is presented in the article of Lenart, Naito, Nomoto, and Sagaki. Finally, the articles of Saied and Wen take up two important new directions in the subject: the SSV polynomials arising from the study of special functions on metaplectic groups, and the wreath Macdonald polynomials associated with certain symplectic resolutions.

Moduli Spaces And Vector Bundles New Trends

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Author : Peter Gothen
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-18

Moduli Spaces And Vector Bundles New Trends written by Peter Gothen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-18 with Mathematics categories.

This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.

Higher Structures In Topology Geometry And Physics

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Author : Ralph M. Kaufmann
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-03

Higher Structures In Topology Geometry And Physics written by Ralph M. Kaufmann and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-03 with Mathematics categories.

This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26–27, 2022. The articles give a snapshot survey of the current topics surrounding the mathematical formulation of field theories. There is an intricate interplay between geometry, topology, and algebra which captures these theories. The hallmark are higher structures, which one can consider as the secondary algebraic or geometric background on which the theories are formulated. The higher structures considered in the volume are generalizations of operads, models for conformal field theories, string topology, open/closed field theories, BF/BV formalism, actions on Hochschild complexes and related complexes, and their geometric and topological aspects.

Topics In Multiple Time Scale Dynamics

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Author : Maximilian Engel
language : en
Publisher: American Mathematical Society
Release Date : 2024-10-21

Topics In Multiple Time Scale Dynamics written by Maximilian Engel and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-21 with Mathematics categories.

This volume contains the proceedings of the BIRS Workshop "Topics in Multiple Time Scale Dynamics," held from November 27? December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics is rapidly evolving, marked by significant theoretical breakthroughs and practical applications. The workshop facilitated a convergence of experts from various sub-disciplines, encompassing topics like blow-up techniques for ordinary differential equations (ODEs), singular perturbation theory for stochastic differential equations (SDE), homogenization and averaging, slow-fast maps, numerical approaches, and network dynamics, including their applications in neuroscience and climate science. This volume provides a wide-ranging perspective on the current challenging subjects being explored in the field, including themes such as novel approaches to blowing-up and canard theory in unique contexts, complex multi-scale challenges in PDEs, and the role of stochasticity in multiple-scale systems.

Recent Progress In Special Functions

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Author : Galina Filipuk
language : en
Publisher: American Mathematical Society
Release Date : 2024-11-02

Recent Progress In Special Functions written by Galina Filipuk and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-02 with Mathematics categories.

This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory. Linear classical special functions, such as hypergeometric functions, Heun functions, and various orthogonal polynomials and nonlinear special functions (e.g., the Painlev‚ transcendents and their generalizations), are studied from different perspectives. This volume serves as a useful reference for a large audience of mathematicians and mathematical physicists interested in modern theory of special functions. It is suitable for both graduate students and specialists in the field.