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Interactions Of Classical And Numerical Algebraic Geometry
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Book Synopsis Interactions of Classical and Numerical Algebraic Geometry by : Daniel James Bates
Download or read book Interactions of Classical and Numerical Algebraic Geometry written by Daniel James Bates and published by American Mathematical Soc.. This book was released on 2009-09-16 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.
Book Synopsis Noncommutative Algebraic Geometry by : Gwyn Bellamy
Download or read book Noncommutative Algebraic Geometry written by Gwyn Bellamy and published by Cambridge University Press. This book was released on 2016-06-20 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.
Book Synopsis Facets of Algebraic Geometry by : Paolo Aluffi
Download or read book Facets of Algebraic Geometry written by Paolo Aluffi and published by Cambridge University Press. This book was released on 2022-04-07 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Book Synopsis Commutative Algebra and Noncommutative Algebraic Geometry by : David Eisenbud
Download or read book Commutative Algebra and Noncommutative Algebraic Geometry written by David Eisenbud and published by Cambridge University Press. This book was released on 2015-11-19 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.
Book Synopsis Computer Algebra in Scientific Computing by : Vladimir P. Gerdt
Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2016-09-08 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th International Workshop on Computer Algebra in Scientific Computing, CASC 2016, held in Bucharest, Romania, in September 2016. The 32 papers presented in this volume were carefully reviewed and selected from 39 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.
Book Synopsis Principles of Locally Conformally Kähler Geometry by : Liviu Ornea
Download or read book Principles of Locally Conformally Kähler Geometry written by Liviu Ornea and published by Springer Nature. This book was released on 2024 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces readers to locally conformally Kähler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with non-Kähler manifolds, LCK geometry has strong links to many other areas of mathematics, including algebraic geometry, topology, and complex analysis. The authors emphasize these connections to create a unified and rigorous treatment of the subject suitable for both students and researchers. Part I builds the necessary foundations for those approaching LCK geometry for the first time with full, mostly self-contained proofs and also covers material often omitted from textbooks, such as contact and Sasakian geometry, orbifolds, Ehresmann connections, and foliation theory. More advanced topics are then treated in Part II, including non-Kähler elliptic surfaces, cohomology of holomorphic vector bundles on Hopf manifolds, Kuranishi and Teichmüller spaces for LCK manifolds with potential, and harmonic forms on Sasakian and Vaisman manifolds. Each chapter in Parts I and II begins with motivation and historic context for the topics explored and includes numerous exercises for further exploration of important topics. Part III surveys the current research on LCK geometry, describing advances on topics such as automorphism groups on LCK manifolds, twisted Hamiltonian actions and LCK reduction, Einstein-Weyl manifolds and the Futaki invariant, and LCK geometry on nilmanifolds and on solvmanifolds. New proofs of many results are given using the methods developed earlier in the text. The text then concludes with a chapter that gathers over 100 open problems, with context and remarks provided where possible, to inspire future research. .
Book Synopsis Alpine Perspectives on Algebraic Topology by : Christian Ausoni
Download or read book Alpine Perspectives on Algebraic Topology written by Christian Ausoni and published by American Mathematical Soc.. This book was released on 2009 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.
Book Synopsis Hodge Theory and Classical Algebraic Geometry by : Gary Kennedy
Download or read book Hodge Theory and Classical Algebraic Geometry written by Gary Kennedy and published by American Mathematical Soc.. This book was released on 2015-08-27 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.
Book Synopsis Discrete Groups and Geometric Structures by : Karel Dekimpe
Download or read book Discrete Groups and Geometric Structures written by Karel Dekimpe and published by American Mathematical Soc.. This book was released on 2009-11-12 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports on research related to Discrete Groups and Geometric Structures, as presented during the International Workshop held May 26-30, 2008, in Kortrijk, Belgium. Readers will benefit from impressive survey papers by John R. Parker on methods to construct and study lattices in complex hyperbolic space and by Ursula Hamenstadt on properties of group actions with a rank-one element on proper $\mathrm{CAT}(0)$-spaces. This volume also contains research papers in the area of group actions and geometric structures, including work on loops on a twice punctured torus, the simplicial volume of products and fiber bundles, the homology of Hantzsche-Wendt groups, rigidity of real Bott towers, circles in groups of smooth circle homeomorphisms, and groups generated by spine reflections admitting crooked fundamental domains.
Book Synopsis Foliations, Geometry, and Topology by : Nicolau Corção Saldanha
Download or read book Foliations, Geometry, and Topology written by Nicolau Corção Saldanha and published by American Mathematical Soc.. This book was released on 2009 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers focus on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces.
Book Synopsis Mirror Symmetry and Tropical Geometry by : Ricardo Castaño-Bernard
Download or read book Mirror Symmetry and Tropical Geometry written by Ricardo Castaño-Bernard and published by American Mathematical Soc.. This book was released on 2010 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from the NSF-CBMS Conference on Tropical Geometry and Mirror Symmetry, which was held from December 13-17, 2008 at Kansas State University in Manhattan, Kansas. --
Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory 2009 by : David R. Kohel
Download or read book Arithmetic, Geometry, Cryptography and Coding Theory 2009 written by David R. Kohel and published by American Mathematical Soc.. This book was released on 2010 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-a-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009. The articles contained in this volume come from three related symposia organized by the group Arithmetique et Theorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.
Book Synopsis Geometry of Moduli Spaces and Representation Theory by : Roman Bezrukavnikov
Download or read book Geometry of Moduli Spaces and Representation Theory written by Roman Bezrukavnikov and published by American Mathematical Soc.. This book was released on 2017-12-15 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program “Geometry of moduli spaces and representation theory”, and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory. Geometric representation theory is a young but fast developing research area at the intersection of these subjects. An early profound achievement was the famous conjecture by Kazhdan–Lusztig about characters of highest weight modules over a complex semi-simple Lie algebra, and its subsequent proof by Beilinson-Bernstein and Brylinski-Kashiwara. Two remarkable features of this proof have inspired much of subsequent development: intricate algebraic data turned out to be encoded in topological invariants of singular geometric spaces, while proving this fact required deep general theorems from algebraic geometry. Another focus of the program was enumerative algebraic geometry. Recent progress showed the role of Lie theoretic structures in problems such as calculation of quantum cohomology, K-theory, etc. Although the motivation and technical background of these constructions is quite different from that of geometric Langlands duality, both theories deal with topological invariants of moduli spaces of maps from a target of complex dimension one. Thus they are at least heuristically related, while several recent works indicate possible strong technical connections. The main goal of this collection of notes is to provide young researchers and experts alike with an introduction to these areas of active research and promote interaction between the two related directions.
Book Synopsis Algebraic Methods in Statistics and Probability II by : Marlos A. G. Viana
Download or read book Algebraic Methods in Statistics and Probability II written by Marlos A. G. Viana and published by American Mathematical Soc.. This book was released on 2010 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: A decade after the publication of Contemporary Mathematics Vol. 287, the present volume demonstrates the consolidation of important areas, such as algebraic statistics, computational commutative algebra, and deeper aspects of graphical models. --
Book Synopsis Ultrafilters across Mathematics by : Vitaly Bergelson
Download or read book Ultrafilters across Mathematics written by Vitaly Bergelson and published by American Mathematical Soc.. This book was released on 2010 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state-of-the-art of applications in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts. It contains two general surveys on ultrafilters in set theory and on the ultraproduct construction, as well as papers that cover additive and combinatorial number theory, nonstandard methods and stochastic differential equations, measure theory, dynamics, Ramsey theory, algebra in the space of ultrafilters, and large cardinals.
Book Synopsis Ideals of Powers and Powers of Ideals by : Enrico Carlini
Download or read book Ideals of Powers and Powers of Ideals written by Enrico Carlini and published by Springer Nature. This book was released on 2020-05-21 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Book Synopsis Spectral and Scattering Theory for Quantum Magnetic Systems by : Philippe Briet
Download or read book Spectral and Scattering Theory for Quantum Magnetic Systems written by Philippe Briet and published by American Mathematical Soc.. This book was released on 2009 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the conference on Spectral and Scattering Theory for Quantum Magnetic Systems, which took place at CIRM, Luminy, France, in July 2008. This volume includes original results presented by some of the invited speakers and surveys on advances in the mathematical theory of quantum magnetic Hamiltonians.
