Quantum Field Theory and Manifold Invariants

Quantum Field Theory and Manifold Invariants

Author: Daniel S. Freed

Publisher: American Mathematical Society, IAS/Park City Mathematics Institute

Published: 2021-12-02

Total Pages: 476

ISBN-13: 1470461234

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This volume contains lectures from the Graduate Summer School “Quantum Field Theory and Manifold Invariants” held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include mathematical gauge theory (anti-self-dual equations, Seiberg-Witten equations, Higgs bundles), classical and categorified knot invariants (Khovanov homology, Heegaard Floer homology), instanton Floer homology, invertible topological field theory, BPS states and spectral networks. This collection presents a rich blend of geometry and topology, with some theoretical physics thrown in as well, and so provides a snapshot of a vibrant and fast-moving field. Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.


Artificial Intelligence in Education

Artificial Intelligence in Education

Author: Ido Roll

Publisher: Springer Nature

Published: 2021-06-11

Total Pages: 536

ISBN-13: 3030782700

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This two-volume set LNAI 12748 and 12749 constitutes the refereed proceedings of the 22nd International Conference on Artificial Intelligence in Education, AIED 2021, held in Utrecht, The Netherlands, in June 2021.* The 40 full papers presented together with 76 short papers, 2 panels papers, 4 industry papers, 4 doctoral consortium, and 6 workshop papers were carefully reviewed and selected from 209 submissions. The conference provides opportunities for the cross-fertilization of approaches, techniques and ideas from the many fields that comprise AIED, including computer science, cognitive and learning sciences, education, game design, psychology, sociology, linguistics as well as many domain-specific areas. ​*The conference was held virtually due to the COVID-19 pandemic.


Cracking the code

Cracking the code

Author: UNESCO

Publisher: UNESCO Publishing

Published: 2017-09-04

Total Pages: 82

ISBN-13: 9231002333

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This report aims to 'crack the code' by deciphering the factors that hinder and facilitate girls' and women's participation, achievement and continuation in science, technology, engineering and mathematics (STEM) education and, in particular, what the education sector can do to promote girls' and women's interest in and engagement with STEM education and ultimately STEM careers.


Performing China

Performing China

Author: Chi-ming Yang

Publisher: JHU Press

Published: 2011-11-01

Total Pages: 284

ISBN-13: 1421404419

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China in the seventeenth and eighteenth centuries was a model of economic and political strength, viewed by many as the greatest empire in the world. While the importance of China to eighteenth-century English consumer culture is well documented, less so is its influence on English values. Through a careful study of the literature, drama, philosophy, and material culture of the period, this book articulates how Chinese culture influenced English ideas about virtue. Discourses of virtue were significantly shaped by the intensified trade with the East Indies. Chi-ming Yang focuses on key forms of virtue—heroism, sincerity, piety, moderation, sensibility, and patriotism—whose meanings and social importance developed in the changing economic climate of the period. She highlights the ways in which English understandings of Eastern values transformed these morals. The book is organized by type of performance—theatrical, ethnographic, and literary—and by performances of gender, identity fraud, and religious conversion. In her analysis of these works, Yang brings to light surprising connections between figures as disparate as Confucius and a Chinese Amazon and between cultural norms as far removed as Hindu reincarnation and London coffeehouse culture. Part of a new wave of cross-disciplinary scholarship, where Chinese studies meets the British eighteenth century, this novel work will appeal to scholars in a number of fields, including performance studies, East Asian studies, British literature, cultural history, gender studies, and postcolonial studies.


Notices of the International Congress of Chinese Mathematicians, Vol. 9, No. 2 (December 2021)

Notices of the International Congress of Chinese Mathematicians, Vol. 9, No. 2 (December 2021)

Author: Shiu-Yuen Cheng

Publisher:

Published: 2022-06-30

Total Pages: 58

ISBN-13: 9781571464149

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This is the eighteenth issue (Vol. 9, No. 2, December 2021 of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization. Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.


Hamilton-Jacobi Equations

Hamilton-Jacobi Equations

Author: Hung V. Tran

Publisher:

Published: 2021

Total Pages:

ISBN-13: 9781470465544

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This book gives an extensive survey of many important topics in the theory of Hamilton–Jacobi equations with particular emphasis on modern approaches and viewpoints. Firstly, the basic well-posedness theory of viscosity solutions for first-order Hamilton–Jacobi equations is covered. Then, the homogenization theory, a very active research topic since the late 1980s but not covered in any standard textbook, is discussed in depth. Afterwards, dynamical properties of solutions, the Aubry–Mather theory, and weak Kolmogorov–Arnold–Moser (KAM) theory are studied. Both dynamical and PDE approaches are introduced to investigate these theories. Connections between homogenization, dynamical aspects, and the optimal rate of convergence in homogenization theory are given as well. The book is self-contained and is useful for a course or for references. It can also serve as a gentle introductory reference to the homogenization theory.


Sixteenth International Congress on Mathematical Physics

Sixteenth International Congress on Mathematical Physics

Author: Pavel Exner

Publisher: World Scientific

Published: 2010

Total Pages: 709

ISBN-13: 981430462X

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The International Congress on Mathematical Physics is the flagship conference in this exciting field. Convening every three years, it gives a survey on the progress achieved in all branches of mathematical physics. It also provides a superb platform to discuss challenges and new ideas. The present volume collects material from the XVIth ICMP which was held in Prague, August 2009, and features most of the plenary lectures and invited lectures in topical sessions as well as information on other parts of the congress program. This volume provides a broad coverage of the field of mathematical physics, from dominantly mathematical subjects to particle physics, condensed matter, and application of mathematical physics methods in various areas such as astrophysics and ecology, amongst others.


Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Author: Boyan Sirakov

Publisher: World Scientific

Published: 2019-02-27

Total Pages: 5393

ISBN-13: 9813272899

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The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.