Contributions in Algebra and Algebraic Geometry

Contributions in Algebra and Algebraic Geometry PDF Author: Shrikrishna G. Dani
Publisher: American Mathematical Soc.
ISBN: 1470447355
Category : Education
Languages : en
Pages : 147

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Book Description
This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9–11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.

Contributions in Algebra and Algebraic Geometry

Contributions in Algebra and Algebraic Geometry PDF Author: Shrikrishna G. Dani
Publisher: American Mathematical Soc.
ISBN: 1470447355
Category : Education
Languages : en
Pages : 147

Get Book

Book Description
This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9–11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.

Algebraic Geometry and Number Theory

Algebraic Geometry and Number Theory PDF Author: victor ginzburg
Publisher: Springer Science & Business Media
ISBN: 0817645322
Category : Mathematics
Languages : en
Pages : 656

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Book Description
This book represents a collection of invited papers by outstanding mathematicians in algebra, algebraic geometry, and number theory dedicated to Vladimir Drinfeld. Original research articles reflect the range of Drinfeld's work, and his profound contributions to the Langlands program, quantum groups, and mathematical physics are paid particular attention. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.

Contributions to Algebraic Geometry

Contributions to Algebraic Geometry PDF Author: Piotr Pragacz
Publisher: European Mathematical Society
ISBN: 9783037191149
Category : Geometry, Algebraic
Languages : en
Pages : 520

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Book Description
The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry PDF Author: Gunnar Fløystad
Publisher: Springer Science & Business Media
ISBN: 3642194923
Category : Mathematics
Languages : en
Pages : 186

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Book Description
The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorial games and chemical reactions. The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour.

Commutative Algebra and Algebraic Geometry

Commutative Algebra and Algebraic Geometry PDF Author: Sudhir Ghorpade
Publisher: American Mathematical Soc.
ISBN: 0821836293
Category : Mathematics
Languages : en
Pages : 192

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Book Description
The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.

Facets of Algebraic Geometry: Volume 1

Facets of Algebraic Geometry: Volume 1 PDF Author: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108890539
Category : Mathematics
Languages : en
Pages : 418

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Book Description
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.

Commutative Algebra

Commutative Algebra PDF Author: Irena Peeva
Publisher: Springer Science & Business Media
ISBN: 1461452929
Category : Mathematics
Languages : en
Pages : 705

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Book Description
This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.

Emerging Applications of Algebraic Geometry

Emerging Applications of Algebraic Geometry PDF Author: Mihai Putinar
Publisher: Springer Science & Business Media
ISBN: 0387096868
Category : Mathematics
Languages : en
Pages : 382

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Book Description
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.

Algebraic Cycles, Sheaves, Shtukas, and Moduli

Algebraic Cycles, Sheaves, Shtukas, and Moduli PDF Author: Piotr Pragacz
Publisher: Springer Science & Business Media
ISBN: 9783764385378
Category : Mathematics
Languages : en
Pages : 236

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Book Description
Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.

Contributions in Algebra and Algebraic Geometry

Contributions in Algebra and Algebraic Geometry PDF Author: Shrikrishna G. Dani
Publisher:
ISBN: 9781470455347
Category : Algebra
Languages : en
Pages : 160

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Book Description
This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9-11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modu.