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Electronic ISBN:  9781470464356 
Product Code:  PSPUM/103.2.E 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 103; 2021; 480 ppMSC: Primary 14; 16; 20; 52; 53; 81;
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.
The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.ReadershipGraduate students and researchers interested in mathematical physics, enumerative and differential geometry, and geometric representation theory.

Table of Contents

Articles

Tom Bridgeland  Geometry from DonaldsonThomas invariants

V.M. Buchstaber and A.P. Veselov  Fricke identities, Frobenius $k$characters and Markov equation

Ivan Cherednik  On HarishChandra theory of global nonsymmetric functions

Noémie C. Combe and Yuri I. Manin  Symmetries of genus zero modular operad

Robert Coquereaux and JeanBernard Zuber  On Schur problem and Kostka numbers

Pavel Etingof, Edward Frenkel and David Kazhdan  An analytic version of the Langlands correspondence for complex curves

Davide Gaiotto, Theo JohnsonFreyd and Edward Witten  A Note On Some Minimally Supersymmetric Models In Two Dimensions

Oscar GarcíaPrada and Dietmar Salamon  A moment map interpretation of the Ricci form, Kähler–Einstein structures, and Teichmüller spaces

Ezra Getzler and Sean Weinz Pohorence  Global gauge conditions in the Batalin–Vilkovisky formalism

Vasily Golyshev and Don Zagier  Interpolated Apéry numbers, quasiperiods of modular forms, and motivic gamma functions

YuanPin Lee, HuiWen Lin and ChinLung Wang  Quantum flips I: Local model

Matilde Marcolli  Aspects of $p$adic geometry related to entanglement entropy

Sergei Merkulov  GrothendieckTeichmüller group, operads and graph complexes: a survey

Oleg Ogievetsky and Senya Shlosman  Platonic Compounds of Cylinders


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This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.
The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
Graduate students and researchers interested in mathematical physics, enumerative and differential geometry, and geometric representation theory.

Articles

Tom Bridgeland  Geometry from DonaldsonThomas invariants

V.M. Buchstaber and A.P. Veselov  Fricke identities, Frobenius $k$characters and Markov equation

Ivan Cherednik  On HarishChandra theory of global nonsymmetric functions

Noémie C. Combe and Yuri I. Manin  Symmetries of genus zero modular operad

Robert Coquereaux and JeanBernard Zuber  On Schur problem and Kostka numbers

Pavel Etingof, Edward Frenkel and David Kazhdan  An analytic version of the Langlands correspondence for complex curves

Davide Gaiotto, Theo JohnsonFreyd and Edward Witten  A Note On Some Minimally Supersymmetric Models In Two Dimensions

Oscar GarcíaPrada and Dietmar Salamon  A moment map interpretation of the Ricci form, Kähler–Einstein structures, and Teichmüller spaces

Ezra Getzler and Sean Weinz Pohorence  Global gauge conditions in the Batalin–Vilkovisky formalism

Vasily Golyshev and Don Zagier  Interpolated Apéry numbers, quasiperiods of modular forms, and motivic gamma functions

YuanPin Lee, HuiWen Lin and ChinLung Wang  Quantum flips I: Local model

Matilde Marcolli  Aspects of $p$adic geometry related to entanglement entropy

Sergei Merkulov  GrothendieckTeichmüller group, operads and graph complexes: a survey

Oleg Ogievetsky and Senya Shlosman  Platonic Compounds of Cylinders