Schubert Calculus and Its Applications in Combinatorics and Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Schubert Calculus and Its Applications in Combinatorics and Representation Theory write by Jianxun Hu. This book was released on 2020-10-24. Schubert Calculus and Its Applications in Combinatorics and Representation Theory available in PDF, EPUB and Kindle. 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.
Schubert Calculus―Osaka 2012
Schubert Calculus―Osaka 2012 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Schubert Calculus―Osaka 2012 write by 成瀬弘. This book was released on 2016-12. Schubert Calculus―Osaka 2012 available in PDF, EPUB and Kindle. 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
k-Schur Functions and Affine Schubert Calculus
k-Schur Functions and Affine Schubert Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook k-Schur Functions and Affine Schubert Calculus write by Thomas Lam. This book was released on 2014-06-06. k-Schur Functions and Affine Schubert Calculus available in PDF, EPUB and Kindle. This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. This is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers, who want to become familiar with this fascinating new field.
A Glimpse into Geometric Representation Theory
A Glimpse into Geometric Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Glimpse into Geometric Representation Theory write by Mahir Bilen Can. This book was released on 2024-08-07. A Glimpse into Geometric Representation Theory available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS Special Session on Combinatorial and Geometric Representation Theory, held virtually on November 20–21, 2021. The articles offer an engaging look into recent advancements in geometric representation theory. Despite diverse subject matters, a common thread uniting the articles of this volume is the power of geometric methods. The authors explore the following five contemporary topics in geometric representation theory: equivariant motivic Chern classes; equivariant Hirzebruch classes and equivariant Chern-Schwartz-MacPherson classes of Schubert cells; locally semialgebraic spaces, Nash manifolds, and their superspace counterparts; support varieties of Lie superalgebras; wreath Macdonald polynomials; and equivariant extensions and solutions of the Deligne-Simpson problem. Each article provides a well-structured overview of its topic, highlighting the emerging theories developed by the authors and their colleagues.
Singularities and Their Interaction with Geometry and Low Dimensional Topology
Singularities and Their Interaction with Geometry and Low Dimensional Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singularities and Their Interaction with Geometry and Low Dimensional Topology write by Javier Fernández de Bobadilla. This book was released on 2021-05-27. Singularities and Their Interaction with Geometry and Low Dimensional Topology available in PDF, EPUB and Kindle. The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.
