Integrability, Quantization, and Geometry
II. Quantum Theories and Algebraic Geometry
Published on 30. June 2021
Book
Paperback/Softback
480 pages
978-1-4704-5592-7 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
870 gr
ISBN-13
978-1-4704-5592-7 (9781470455927)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Sergey Novikov, University of Maryland, College Park, MD, and Steklov Institute of Mathematics, Moscow, Russia
Igor Krichever, Columbia University, New York, NY, and Skoltech, Moscow, Russia
Oleg Ogievetsky, Center of Theoretical Physics, Marseille, France, and Lebedev Physical Institute, Moscow, Russia
Senya Shlosman, Center of Theoretical Physics, Marseille, France, and Skoltech, Moscow, Russia
Igor Krichever, Columbia University, New York, NY, and Skoltech, Moscow, Russia
Oleg Ogievetsky, Center of Theoretical Physics, Marseille, France, and Lebedev Physical Institute, Moscow, Russia
Senya Shlosman, Center of Theoretical Physics, Marseille, France, and Skoltech, Moscow, Russia
Content
T. Bridgeland, Geometry from Donaldson-Thomas invariants
V. M. Buchstaber and A. P. Veselov, Fricke identities, Frobenius $K$-characters and Markov equation
I. Cherednik, On Harish-Chandra theory of global nonsymmetric functions
N. C. Combe and Y. I. Manin, Symmetries of genus zero modular operad
R. Coquereaux and J.-B. Zuber, On Schur problem and Kostka numbers
P. Etingof, E. Frenkel, and D. Kazhdan, An analytic version of the Langlands correspondence for complex curves
D. Gaiotto, T. Johnson-Freyd, and E. Witten, A note on some minimally supersymmetric models in two dimensions
O. Garcia-Prada and D. Salamon, A moment map interpretation of the Ricci form, Kahler-Einstein structures, and Teichmuller spaces
E. Getzler and S. W. Pohorence, Global gauge conditions in the Batalin-Vilkovisky formalism
V. Golyshev and D. Zagier, Interpolated Apery numbers, quasiperiods of modular forms, and motivic gamma functions
Y.-P. Lee, H.-W. Lin, and C.-L. Wang, Quantum flips I: Local model
M. Marcolli, Aspects of $p$-adic geometry related to entanglement entropy
S. Merkulov, Grothendieck-Teichmuller group, operads and graph complexes: A survey
O. Ogievetsky and S. Shlosman, Platonic compounds of cylinders.
V. M. Buchstaber and A. P. Veselov, Fricke identities, Frobenius $K$-characters and Markov equation
I. Cherednik, On Harish-Chandra theory of global nonsymmetric functions
N. C. Combe and Y. I. Manin, Symmetries of genus zero modular operad
R. Coquereaux and J.-B. Zuber, On Schur problem and Kostka numbers
P. Etingof, E. Frenkel, and D. Kazhdan, An analytic version of the Langlands correspondence for complex curves
D. Gaiotto, T. Johnson-Freyd, and E. Witten, A note on some minimally supersymmetric models in two dimensions
O. Garcia-Prada and D. Salamon, A moment map interpretation of the Ricci form, Kahler-Einstein structures, and Teichmuller spaces
E. Getzler and S. W. Pohorence, Global gauge conditions in the Batalin-Vilkovisky formalism
V. Golyshev and D. Zagier, Interpolated Apery numbers, quasiperiods of modular forms, and motivic gamma functions
Y.-P. Lee, H.-W. Lin, and C.-L. Wang, Quantum flips I: Local model
M. Marcolli, Aspects of $p$-adic geometry related to entanglement entropy
S. Merkulov, Grothendieck-Teichmuller group, operads and graph complexes: A survey
O. Ogievetsky and S. Shlosman, Platonic compounds of cylinders.