Integrability, Quantization, and Geometry

II. Quantum Theories and Algebraic Geometry

Sergey Novikov, Igor Krichever, Oleg Ogievetsky, Senya Shlosman (Herausgeber)

Buch | Softcover

480 Seiten

2021
American Mathematical Society (Verlag)
978-1-4704-5592-7 (ISBN)

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Offers 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.

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.

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

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.

Erscheinungsdatum	14.05.2021
Reihe/Serie	Proceedings of Symposia in Pure Mathematics
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	870 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4704-5592-7 / 1470455927
ISBN-13	978-1-4704-5592-7 / 9781470455927
Zustand	Neuware