| 书目名称 | Recent Progress in Mathematics | | 编辑 | Nam-Gyu Kang,Jaigyoung Choe,Sang-hyun Kim | | 视频video | | | 概述 | Includes both original research articles and surveys on the cutting edge of various fields.Is written by outstanding mathematicians in each of the fields covered.Provides intriguing explorations of th | | 丛书名称 | KIAS Springer Series in Mathematics | | 图书封面 |  | | 描述 | This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly on research. All deal with important areas of mathematics, however, such as algebraic geometry, topology, partial differential equations, Riemannian geometry, and harmonic analysis. This book is addressed to researchers who are interested in those subject areas. .Young-Hoon Kiem. discusses classical enumerative geometry before string theory and improvements after string theory as well as some recent advances in quantum singularity theory, Donaldson–Thomas theory for Calabi–Yau 4-folds, and Vafa–Witten invariants. .Dongho Chae. discusses the finite-time singularity problem for three-dimensional incompressible Euler equations. He presents Kato‘s classicallocal well-posedness results, Beale–Kato–Majda‘s blow-up criterion, and recent studies on the singularity problem for the 2D Boussinesq equations. .Simon Brendle. discusses recent developments that have led to a complete classification of all the singularity models in a three-dimensional | | 出版日期 | Book 2022 | | 关键词 | Enumerative geometry; shift locus; Euler equations; Ricci flow; Neumann-Poincare operator | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-19-3708-8 | | isbn_softcover | 978-981-19-3710-1 | | isbn_ebook | 978-981-19-3708-8Series ISSN 2731-5142 Series E-ISSN 2731-5150 | | issn_series | 2731-5142 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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发表于 2025-3-21 19:11:05
