A Celebration Of Algebraic Geometry
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| Author | : Brendan Hassett |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 614 |
| Release | : 2013-09-11 |
| Genre | : Mathematics |
| ISBN | : 0821889834 |
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).
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| Publisher | : |
| Total Pages | : 0 |
| Release | : 2013 |
| Genre | : Geometry, Algebraic |
| ISBN | : 9780821889831 |
| Author | : Vladimir Baranovsky |
| Publisher | : Birkhäuser |
| Total Pages | : 0 |
| Release | : 2023-06-17 |
| Genre | : Mathematics |
| ISBN | : 9783030820091 |
The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays. Based on the work of speakers and invited participants at the conference “Interactions Between Representation Theory and Algebraic Geometry”, held at the University of Chicago, August 21-25, 2017, this volume illustrates the impact of their research and how it has shaped the development of various branches of mathematics through the use of D-modules, the affine Grassmannian, symplectic algebraic geometry, and other topics. All authors have been deeply influenced by their ideas and present here cutting-edge developments on modern topics. Chapters are organized around three distinct themes: Groups, algebras, categories, and representation theory D-modules and perverse sheaves Analogous varieties defined by quivers Representation Theory and Algebraic Geometry will be an ideal resource for researchers who work in the area, particularly those interested in exploring the impact of the Russian school.
| Author | : Paolo Aluffi |
| Publisher | : Cambridge University Press |
| Total Pages | : 418 |
| Release | : 2022-04-07 |
| Genre | : Mathematics |
| ISBN | : 1108890539 |
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 537 |
| Release | : 2020-03-02 |
| Genre | : Mathematics |
| ISBN | : 110871577X |
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
| Author | : J. M. Landsberg |
| Publisher | : Cambridge University Press |
| Total Pages | : 353 |
| Release | : 2017-09-28 |
| Genre | : Computers |
| ISBN | : 1107199239 |
This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.
| Author | : Hussein Mourtada |
| Publisher | : Birkhäuser |
| Total Pages | : 240 |
| Release | : 2017-05-07 |
| Genre | : Mathematics |
| ISBN | : 331947779X |
This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.
| Author | : Dan Abramovich |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 539 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0821847031 |
Offers information on various technical tools, from jet schemes and derived categories to algebraic stacks. This book delves into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. It describes various advances in higher-dimensional bi rational geometry.
| Author | : Richard Wentworth |
| Publisher | : World Scientific |
| Total Pages | : 412 |
| Release | : 2018-06-28 |
| Genre | : Mathematics |
| ISBN | : 9813229101 |
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.
| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 537 |
| Release | : 2020-04-02 |
| Genre | : Mathematics |
| ISBN | : 1108805337 |
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.
