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Surveys on Recent Developments in Algebraic Geometry
The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah. These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.
A Celebration of Algebraic Geometry
This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Power System Operation and Optimization Considering High Penetration of Renewable Energy
The energy landscape is shifting toward renewable energy sources to mitigate climate change and reduce dependence on fossil fuels. The integration of renewable energy sources into the power grid presents various challenges, including uncertainty and variability of renewable energy sources, grid stability, and management of energy storage. Power system operation and optimization play a crucial role in managing the energy supply-demand balance, reducing operational costs, and improving the reliability of the power system. This call for papers aims to bring together the latest research and practical applications related to power system operation and optimization in the context of high penetrati...
Novel Treatments and the Underlying Mechanisms for Diabetic Foot and Related Diseases
Diabetic foot is a serious complication of diabetes worldwide. The etiology of diabetic foot is quite complex due to its multifactorial nature. Diabetic neuropathy, peripheral artery disease, foot deformity, high blood glucose and secondary infection all can contribute to diabetic foot ulceration and gangrene, sometimes resulting in minor or major amputations. Several risk factors including old age, long-term diabetes, smoking, foot deformity, and ischemia have been identified in diabetic foot. Many diagnostic methods are used for early-stage diabetic neuropathy and peripheral arterial disease, such as pulse wave, ankle-brachial artery ratio, Sudoscan, gait analysis, etc. Due to the high glucose environment, metabolic disorder, ischemia and peripheral neuropathy, diabetic foot ulcer is much more difficult to heal than common traumatic wounds. Therefore, in addition to existing treatments, new methods or techniques are still needed to improve wound healing. We also expect to find novel pathways to elucidate the complicated mechanisms involved in diabetic foot and diabetic wound healing.
Vertex Cover In Neutrosophic SuperHyperGraphs
[ADDRESSED CITATION] [HG209b] Henry Garrett, “Vertex Cover In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2024 (doi: 10.5281/zenodo.13294466). In this scientific research book, there are some scientific research chapters on “Extreme Vertex Cover In Neutrosophic SuperHyperGraphs” and “Neutrosophic Vertex Cover In Neutrosophic SuperHyperGraphs” about some scientific researches on Vertex Cover In Neutrosophic SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Vertex Cover In Neutrosophic SuperHyperGraphs and Neutrosophic Vertex Cover In Neutrosophic SuperHyperGraphs. With scientific research on the basic scientific research properties, the scientific rese...
Machine Learning and Intelligent Communications
This two volume set constitutes the refereed post-conference proceedings of the Second International Conference on Machine Learning and Intelligent Communications, MLICOM 2017, held in Weihai, China, in August 2017. The 143 revised full papers were carefully selected from 225 submissions. The papers are organized thematically in machine learning, intelligent positioning and navigation, intelligent multimedia processing and security, intelligent wireless mobile network and security, cognitive radio and intelligent networking, intelligent internet of things, intelligent satellite communications and networking, intelligent remote sensing, visual computing and three-dimensional modeling, green communication and intelligent networking, intelligent ad-hoc and sensor networks, intelligent resource allocation in wireless and cloud networks, intelligent signal processing in wireless and optical communications, intelligent radar signal processing, intelligent cooperative communications and networking.
Geometry of Moduli
The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinøya Rorbuer, Svolvær in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry. Written by many of the main contributors to this evolving subject, the book provides a comprehensive collection of new methods and the various directions in which moduli theory is advancing. These include the geometry of moduli spaces, non-reductive geometric invariant theory, birational geometry, enumerative geometry, hyper-kähler geometry, syzygies of curves and Brill-Noether theory and stability conditions. Moduli theory is ubiquitous in algebraic geometry, and this is reflected in the list of moduli spaces addressed in this volume: sheaves on varieties, symmetric tensors, abelian differentials, (log) Calabi-Yau varieties, points on schemes, rational varieties, curves, abelian varieties and hyper-Kähler manifolds.
