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Combinatorial And Toric Homotopy: Introductory Lectures
This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis...
Pub companies
The deep-seated problems within the pub industry and in particular the relationship between pub companies and their lessees, who run pubs, have been the subject of repeated scrutiny by Parliamentary select committees. Earlier reports on this subject having been published as HC 128-I & II, session 2004-5 (ISBNs 9780215021007, 9780215022653), HC 434, session 2004--05 (ISBN 9780215022868), HC 503, session 2009-10 (ISBN 9780215545510), HC 138, session 2009-10 (ISBN 9780215544377) ; and HC 26-I, session 2008-09 (ISBN 9780215530127). Each Committee report challenged the industry to deliver meaningful reform and on every occasion the industry was found wanting. The latest follow-up, HC 138 of sessi...
Models And Methods For Quantum Condensation And Fluids
The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.
The Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles
In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.
Algebraic Topology and Related Topics
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.
Genealogies of Interacting Particle Systems
"Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop "--Publisher's website.
On The Langlands Program: Endoscopy And Beyond
This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.
Aspects Of Computation And Automata Theory With Applications
This volume results from two programs that took place at the Institute for Mathematical Sciences at the National University of Singapore: Aspects of Computation — in Celebration of the Research Work of Professor Rod Downey (21 August to 15 September 2017) and Automata Theory and Applications: Games, Learning and Structures (20-24 September 2021).The first program was dedicated to the research work of Rodney G. Downey, in celebration of his 60th birthday. The second program covered automata theory whereby researchers investigate the other end of computation, namely the computation with finite automata, and the intermediate level of languages in the Chomsky hierarchy (like context-free and context-sensitive languages).This volume contains 17 contributions reflecting the current state-of-art in the fields of the two programs.
Saul: Bacchus Hill Boys
Saul Bacchus was his father’s right-hand man and he was called ‘the hammer’ because he didn’t take well to shite happening around him. When his father needed something done and done well, it was Saul he sent. That’s why he was in Japan, some one thought it wise to embezzle from Bacchus Enterprises and they’d face the repercussions for doing it. That’s where he met Indigo Cantrell, a ballet dancer in more than a bit of trouble, and nowhere to go. He wasn’t the type of man to see a woman in tears sitting on the steps of a Bacchus club without helping her. Taking Indigo back to Edinburgh with him seemed like the simplest option, and they could go from there. Saul didn’t know the attraction would burn so fast and hard between them or falling in love would hit like the namesake he was dubbed on the hill. When the man who wanted Indigo had the gall to try to come get her, in Bacchus stomping ground no less. He would understand why Saul was called the hammer in the most painful of ways. To protect the woman, he’d fallen in love with, Saul would crumble anyone who came for Indigo from stone to dust.
Mathematics Of Shapes And Applications
Understanding how a single shape can incur a complex range of transformations, while defining the same perceptually obvious figure, entails a rich and challenging collection of problems, at the interface between applied mathematics, statistics and computer science. The program on Mathematics of Shapes and Applications, was held at the Institute for Mathematical Sciences at the National University of Singapore in 2016. It provided discussions on theoretical developments and numerous applications in computer vision, object recognition and medical imaging.The analysis of shapes is an example of a mathematical problem directly connected with applications while offering deep open challenges to th...
