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Etale Cohomology Theory
Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.
Handbook of Global Analysis
This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents
My Years as a Ghost Marriage Witness
The Spirit House was an antique shop that had transformed into a dead person for their wedding. The arrival of a dangerous stranger had inadvertently brought the owner of the Spirit Hall, Shuo Qianxue, with him into a marriage and his future troubles.
Meet You, at the End of Time
As a taxi driver, Lin Yiyuan carried Gu Yiming home in a professional manner. However, when he found the hit-and-run woman in the wallet that Gu Yiming had left, Lin Yiyuan decided to get close to Gu Yiming and become a professional driver.
Because Without Cause
Not all scientific explanations work by describing causal connections between events or the world's overall causal structure. In addition, mathematicians regard some proofs as explaining why the theorems being proved do in fact hold. This book proposes new philosophical accounts of many kinds of non-causal explanations in science and mathematics.
Differential Geometry and Physics
This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.
Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler's Conjecture
The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal “known density” of B/√18. In 1611, Johannes Kepler had already “conjectured” that B/√18 should be the optimal “density” of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that B/√18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of density. This important book provides a self-contained proof of both, using vector algebra and spherical geometry as the main techniques and in the tradition of classical geometry.
Quantized Algebra and Physics
A note on Brauer-Schur functions / Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada -- [symbol]-operators on associative algebras, associative Yang-Baxter equations and dendriform algebras / Chengming Bai, Li Guo and Xiang Ni -- Irreducible Wakimoto-like modules for the affine Lie algebra [symbol] / Yun Gao and Ziting Zeng -- Verma modules over generic exp-polynomial Lie algebras / Xiangqian Guo, Xuewen Liu and Kaiming Zhao -- A formal infinite dimensional Cauchy problem and its relation to integrable hierarchies / G.F. Helminck, E.A. Panasenko and A.O. Sergeeva -- Partially harmonic tensors and quantized Schur-Weyl duality / Jun Hu and Zhankui Xiao -- Quantum entanglement and approximation by positive matrices / Xiaofen Huang and Naihuan Jing -- 2-partitions of root systems / Bin Li, William Wong and Hechun Zhang -- A survey on weak Hopf algebras / Fang Li and Qinxiu Sun -- The equitable presentation for the quantum algebra Uq(f(k)) / Yan Pan, Meiling Zhu and Libin Li
Intoxicated Jianghu
Shiya Village is a remote, climate-friendly village. The people here are hardworking and kind, the men are self-sufficient in their work. This year's spring, however, broke the serenity of the past. A group of men surrounded the area ... So there was a river of blood here. Auntie Shi did her best. He placed the stone book and sword of his beloved son on Qing Feng to show off his skills. The bones of the books and swords were unique as they practiced martial arts at the Clear Wind Monastery. He didn't want to get hit by a fluke. Familiar with the plain girl swordsman Wen Zhu. He had a feud with the Martial Arts Sect. By chance and coincidence, he learnt the sword kinesis technique of a senior. But the danger was getting closer. As a result, the river and the lake were dangerous, with a slim chance of survival. Shi Shujian and Xiu Wenzhu's minds were linked. Finally, he found out the secret of the Bloody Rock Cliff Village. Together, they defeated the great devil, Dongfang Xiao. Escape from this world ... Spring came. Stone Cliff Village was still as beautiful as ever. Close]
Supreme Violent Young Master
He was the mighty and domineering emperor of the Demon Clan, the Devil Sect Venerable One with unparalleled scheming, he was the leader of the buddhist faith. Chen Yuyang used his arrogant and domineering life to tell you this: As a man, you must be a dragon amongst men.
