Surveys in Combinatorics 2021 PDF Download
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Author: Konrad K. Dabrowski
Publisher: Cambridge University Press
ISBN: 1009018884
Category : Mathematics
Languages : en
Pages : 379
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Book Description
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author: Konrad K. Dabrowski
Publisher: Cambridge University Press
ISBN: 1009018884
Category : Mathematics
Languages : en
Pages : 379
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Book Description
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author: Felix Fischer
Publisher: Cambridge University Press
ISBN: 1009490532
Category : Mathematics
Languages : en
Pages : 305
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Book Description
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author: Anthony Nixon
Publisher: Cambridge University Press
ISBN: 1009096222
Category : Mathematics
Languages : en
Pages : 257
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Book Description
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Author: Jeffrey Shallit
Publisher: Cambridge University Press
ISBN: 1108745245
Category : Computers
Languages : en
Pages : 375
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Book Description
Learn how to automatically prove mathematical statements in combinatorics, sequences, and number theory.
Author: Carolina Araujo
Publisher: Cambridge University Press
ISBN: 1009239651
Category : Mathematics
Languages : en
Pages : 452
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Book Description
Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler–Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler–Einstein metric, containing many additional relevant results such as the classification of all Kähler–Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.
Author: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108792502
Category : Mathematics
Languages : en
Pages : 417
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Book Description
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Author: Edgard A. Pimentel
Publisher: Cambridge University Press
ISBN: 1009103121
Category : Mathematics
Languages : en
Pages : 204
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Book Description
Presenting the basics of elliptic PDEs in connection with regularity theory, the book bridges fundamental breakthroughs – such as the Krylov–Safonov and Evans–Krylov results, Caffarelli's regularity theory, and the counterexamples due to Nadirashvili and Vlăduţ – and modern developments, including improved regularity for flat solutions and the partial regularity result. After presenting this general panorama, accounting for the subtleties surrounding C-viscosity and Lp-viscosity solutions, the book examines important models through approximation methods. The analysis continues with the asymptotic approach, based on the recession operator. After that, approximation techniques produce a regularity theory for the Isaacs equation, in Sobolev and Hölder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hölder continuity for the Hessian of the solutions by connecting the problem with a Bellman equation. To complete the book, degenerate models are studied and their optimal regularity is described.
Author: Hamid Abban
Publisher: Cambridge University Press
ISBN: 1009190822
Category : Mathematics
Languages : en
Pages : 368
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Book Description
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: Caterina Campagnolo
Publisher: Cambridge University Press
ISBN: 100919271X
Category : Mathematics
Languages : en
Pages : 172
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Book Description
Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field.
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.
