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Shimura Varieties
This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011
Progress in Botany 77
With one volume each year, this series keeps scientists and advanced students informed of the latest developments and results in all areas of the plant sciences. The present volume includes reviews on plant genetics, physiology, ecology, and evolution.
Arithmetic, Geometry, Cryptography and Coding Theory
This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
Transplant Production in the 21st Century
We are facing global issues concerning environmental pollution and shortages of food, feed, phytomass (plant biomass) and natural resources, which will become more serious in the forthcoming decades. To solve these issues, immeasurable numbers of various plants and huge amounts of phytomass are required every year for food, feed and for the improvement of amenities, the environment and our quality of life. Increased phytomass is also required as alternative raw material for producing bio-energy, biodegradable plastics and many other plant-originated industrial products. Only by using phytomass as a reproducible energy source and raw material, instead of fossil fuels and atomic power, we can ...
p-adic Numbers
There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers. From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." --THE MATHEMATICAL GAZETTE
The Arithmetic and Geometry of Algebraic Cycles
From the June 1998 Summer School come 20 contributions that explore algebraic cycles (a subfield of algebraic geometry) from a variety of perspectives. The papers have been organized into sections on cohomological methods, Chow groups and motives, and arithmetic methods. Some specific topics include logarithmic Hodge structures and classifying spaces; Bloch's conjecture and the K-theory of projective surfaces; and torsion zero-cycles and the Abel-Jacobi map over the real numbers.
Moduli Stacks of Étale (φ, Γ)-Modules and the Existence of Crystalline Lifts
"Motivated by the p-adic Langlands program, this book constructs stacks that algebraize Mazur's formal deformation rings of local Galois representations. More precisely, it constructs Noetherian formal algebraic stacks over Spf Zp that parameterize étale ([phi], [Gamma])-modules; the formal completions of these stacks at points in their special fibres recover the universal deformation rings of local Galois representations. Matthew Emerton and Toby Gee use these stacks to show that all mod p representations of the absolute Galois group of a p-adic local field lift to characteristic zero, and indeed admit crystalline lifts. They explicitly describe the irreducible components of the underlying reduced substacks and discuss the relationship between the geometry of these stacks and the Breuil-Mézard conjecture. Along the way, they prove a number of foundational results in p-adic Hodge theory that may be of independent interest"--
