Schubert Calculus

Schubert Calculus PDF Author: Hiroshi Naruse
Publisher:
ISBN: 9784864970396
Category :
Languages : en
Pages :

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Schubert Calculus

Schubert Calculus PDF Author: Hiroshi Naruse
Publisher:
ISBN: 9784864970396
Category :
Languages : en
Pages :

Get Book Here

Book Description


Schubert Calculus―Osaka 2012

Schubert Calculus―Osaka 2012 PDF Author: 成瀬弘
Publisher:
ISBN: 9784864970389
Category : Geometry, Algebraic
Languages : en
Pages : 0

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Book Description
This volume is the proceedings of the 5th MSJ Seasonal Institute 'Schubert Calculus' held at Osaka City University, September 17th-27th, 2012. It is recommended for all researchers and graduate students who are interested in Schubert calculus and its many connections and applications to related areas of mathematics, such as geometric representation theory, combinatorial aspects of algebraic varieties arising in Lie theory, and equivariant topology. Alain Lascoux, who is one of the pioneers of modern Schubert calculus, and a contributor of this volume, passed away during the time of editing process of the proceedings. The volume is dedicated to him.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Schubert Calculus and Its Applications in Combinatorics and Representation Theory

Schubert Calculus and Its Applications in Combinatorics and Representation Theory PDF Author: Jianxun Hu
Publisher: Springer Nature
ISBN: 9811574510
Category : Mathematics
Languages : en
Pages : 367

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Book Description
This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics.

Facets of Algebraic Geometry: Volume 2

Facets of Algebraic Geometry: Volume 2 PDF Author: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108890547
Category : Mathematics
Languages : en
Pages : 396

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Book Description
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured 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.

Interactions with Lattice Polytopes

Interactions with Lattice Polytopes PDF Author: Alexander M. Kasprzyk
Publisher: Springer Nature
ISBN: 3030983277
Category : Mathematics
Languages : en
Pages : 368

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Book Description
This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating combinatorial objects are a cornerstone of toric geometry and continue to find rich and unforeseen applications throughout mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Magdeburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this book. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics.

Schubert Calculus: an Algebraic Introduction

Schubert Calculus: an Algebraic Introduction PDF Author: Letterio Gatto
Publisher:
ISBN: 9788524402272
Category :
Languages : en
Pages : 121

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Primitive Forms and Related Subjects

Primitive Forms and Related Subjects PDF Author: Kentaro Hori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This volume contains the proceedings of the conference ``Primitive Forms and Related Subjects'', held at the Kavli Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, February 10-14, 2014. The principal aim of the conference was to discuss the current status of rapidly developing subjects related to primitive forms. In particular, Fukaya category, Gromov-Witten and FJRW invariants, mathematical formulation of Landau-Ginzburg models, and mirror symmetry were discussed. The conference had three introductory courses by.experts and 12 lectures on more advanced topics. This volume volume contains two survey articles and 11 research articles based on the conference presentations.

Schubert Calculus in the Grassmannian of Oriented 2-planes

Schubert Calculus in the Grassmannian of Oriented 2-planes PDF Author: Duan Haibao
Publisher:
ISBN:
Category :
Languages : en
Pages : 11

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The Schubert Calculus

The Schubert Calculus PDF Author: David Paul Higham
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 156

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Recent Trends in Algebraic Combinatorics

Recent Trends in Algebraic Combinatorics PDF Author: Hélène Barcelo
Publisher: Springer
ISBN: 3030051412
Category : Mathematics
Languages : en
Pages : 362

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Book Description
This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.