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Integrability, quantization, and geometry. II, Quantum Theories and Algebraic Geometry / Igor Krichever, Sergey Novikov, Oleg Ogievetsky, Senya Shlosman, editors.
- Format:
- Book
- Series:
- Proceedings of Symposia in Pure Mathematics ; v. 103.2.
- Proceedings of symposia in pure mathematics, 2324-707X ; v. 103.2
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Topology.
- Homology theory.
- Quantum theory.
- Dubrovin, B. A. (Boris Anatolʹevich)--Influence.
- Dubrovin, B. A.
- Physical Description:
- 1 online resource
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2021]
- Summary:
- 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.
- Contents:
- Geometry from Donaldson-Thomas invariants / Tom Bridgeland
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01851 Fricke identities, Frobenius $k$-characters and Markov equation / V.M. Buchstaber and A.P. Veselov
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01852 On Harish-Chandra theory of global nonsymmetric functions / Ivan Cherednik
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01853 Symmetries of genus zero modular operad / Noémie C. Combe and Yuri I. Manin
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01854 On Schur problem and Kostka numbers / Robert Coquereaux and Jean-Bernard Zuber
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01855 An analytic version of the Langlands correspondence for complex curves / Pavel Etingof, Edward Frenkel and David Kazhdan
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01856 A Note On Some Minimally Supersymmetric Models In Two Dimensions / Davide Gaiotto, Theo Johnson-Freyd and Edward Witten
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01857 A moment map interpretation of the Ricci form, Kähler-Einstein structures, and Teichmüller spaces / Oscar García-Prada and Dietmar Salamon
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01858 Global gauge conditions in the Batalin-Vilkovisky formalism / Ezra Getzler and Sean Weinz Pohorence
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01859 Interpolated Apéry numbers, quasiperiods of modular forms, and motivic gamma functions / Vasily Golyshev and Don Zagier
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01860 Quantum flips I: Local model / Yuan-Pin Lee, Hui-Wen Lin and Chin-Lung Wang
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01861 Aspects of $p$-adic geometry related to entanglement entropy / Matilde Marcolli
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01862 Grothendieck-Teichmüller group, operads and graph complexes: a survey / Sergei Merkulov
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01863 Platonic Compounds of Cylinders / Oleg Ogievetsky and Senya Shlosman
- https://www.ams.org/pspum/103.2/ https://doi.org/10.1090/pspum/103.2/01864
- Notes:
- "Dedicated to the memory of Boris Dubrovin, 1950-2019."
- Includes bibliographical references.
- Description based on publisher supplied metadata and other sources.
- Other Format:
- Print version: Integrability, quantization, and geometry /
- ISBN:
- 1-4704-6435-7
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