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Author : Christopher D. Hacon,Mircea Mustaţă,Mihnea Popa
Publisher : Cambridge University Press
Page : 451 pages
File Size : 43,7 Mb
Release : 2015-01-15
Category : Mathematics
ISBN : 9781107647558
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author : Christopher Derek Hacon,Mircea Mustata,Mihnea Popa
Publisher : Unknown
Page : 436 pages
File Size : 55,5 Mb
Release : 2015
Category : Geometry, Algebraic
ISBN : 1316210618
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author : Izzet Coskun,Tommaso de Fernex,Angela Gibney
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 50,5 Mb
Release : 2017-07-12
Category : $K$-theory -- Higher algebraic $K$-theory -- $Q$- and plus-constructions
ISBN : 9781470435578
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.
Author : Christopher Derek Hacon,Mircea Mustata,Mihnea Popa
Publisher : Unknown
Page : 128 pages
File Size : 45,9 Mb
Release : 2015
Category : Electronic
ISBN : 1316212432
Author : Bill Jacob,Tsit-Yuen Lam,Robert O. Robson
Publisher : American Mathematical Soc.
Page : 416 pages
File Size : 43,5 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821851548
The papers collected here present an up-to-date record of the current research developments in the fields of real algebraic geometry and quadratic forms. Articles range from the technical to the expository and there are also indications to new research directions.
Author : Emma Previato
Publisher : American Mathematical Soc.
Page : 310 pages
File Size : 53,9 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821828106
Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session, ``Enumerative Geometry in Physics,'' held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.
Author : Lucia Caporaso
Publisher : Cambridge University Press
Page : 437 pages
File Size : 53,5 Mb
Release : 2012-03-19
Category : Mathematics
ISBN : 9780521768252
This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Author : Matt Kerr,Gregory Pearlstein
Publisher : Cambridge University Press
Page : 533 pages
File Size : 43,6 Mb
Release : 2016-02-04
Category : Mathematics
ISBN : 9781107546295
Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.
Author : Pramod M. Achar,Dijana Jakelić,Kailash C. Misra,Milen Yakimov
Publisher : American Mathematical Society
Page : 296 pages
File Size : 43,6 Mb
Release : 2014-08-27
Category : Mathematics
ISBN : 9780821898529
This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.
Author : Christopher D. Hacon,Mircea Mustaţă,Mihnea Popa
Publisher : Cambridge University Press
Page : 451 pages
File Size : 52,5 Mb
Release : 2015-01-15
Category : Mathematics
ISBN : 9781316195833
Contemporary research in algebraic geometry is the focus of this collection, which presents articles on modern aspects of the subject. The list of topics covered is a roll-call of some of the most important and active themes in this thriving area of mathematics: the reader will find articles on birational geometry, vanishing theorems, complex geometry and Hodge theory, free resolutions and syzygies, derived categories, invariant theory, moduli spaces, and related topics, all written by leading experts. The articles, which have an expository flavour, present an overall picture of current research in algebraic geometry, making this book essential for researchers and graduate students. This volume is the outcome of the conference Recent Advances in Algebraic Geometry, held in Ann Arbor, Michigan, to honour Rob Lazarsfeld's many contributions to the subject on the occasion of his 60th birthday.
Author : Mihai Putinar,Seth Sullivant
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 48,7 Mb
Release : 2008-12-10
Category : Mathematics
ISBN : 9780387096865
Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.
Author : K. A. Brown,T. J. Hodges,M. Vancliff,J. J. Zhang
Publisher : American Mathematical Society
Page : 288 pages
File Size : 40,5 Mb
Release : 2024-05-30
Category : Mathematics
ISBN : 9781470472399
This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday. The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory. In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.
Author : Tor Dokken,Georg Muntingh
Publisher : Springer
Page : 323 pages
File Size : 51,6 Mb
Release : 2014-10-24
Category : Mathematics
ISBN : 9783319086354
This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms. Written by a combination of young and experienced researchers, the book introduces new ideas in an established context. Among the central topics are approximate and sparse implicitization and surface parametrization; algebraic tools for geometric computing; algebraic geometry for computer aided design applications and problems with industrial applications. Readers will encounter new methods for the (approximate) transition between the implicit and parametric representation; new algebraic tools for geometric computing; new applications of isogeometric analysis and will gain insight into the emerging research field situated between algebraic geometry and computer aided geometric design.
Author : Hamid Abban,Gavin Brown,Alexander Kasprzyk,Shigefumi Mori
Publisher : Cambridge University Press
Page : 368 pages
File Size : 51,8 Mb
Release : 2022-09-30
Category : Mathematics
ISBN : 9781009190824
Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.
Author : Serge Lang
Publisher : Courier Dover Publications
Page : 273 pages
File Size : 55,7 Mb
Release : 2019-03-20
Category : Mathematics
ISBN : 9780486839806
Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.