Integrability, Quantization, and Geometry

II. Quantum Theories and Algebraic Geometry

AvSergey Novikov,Igor Krichever

Häftad, Engelska, 2021

Del i serien Proceedings of Symposia in Pure Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-06-30
Mått:178 x 254 x undefined mm
Vikt:870 g
Format:Häftad
Språk:Engelska
Serie:Proceedings of Symposia in Pure Mathematics
Antal sidor:480
Förlag:American Mathematical Society
ISBN:9781470455927

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik

Mer om författaren

Sergey Novikov, University of Maryland, College Park, MD, and Steklov Institute of Mathematics, Moscow, RussiaIgor Krichever, Columbia University, New York, NY, and Skoltech, Moscow, RussiaOleg Ogievetsky, Center of Theoretical Physics, Marseille, France, and Lebedev Physical Institute, Moscow, RussiaSenya Shlosman, Center of Theoretical Physics, Marseille, France, and Skoltech, Moscow, Russia

Innehållsförteckning

T. Bridgeland, Geometry from Donaldson-Thomas invariantsV. M. Buchstaber and A. P. Veselov, Fricke identities, Frobenius $K$-characters and Markov equationI. Cherednik, On Harish-Chandra theory of global nonsymmetric functionsN. C. Combe and Y. I. Manin, Symmetries of genus zero modular operadR. Coquereaux and J.-B. Zuber, On Schur problem and Kostka numbersP. Etingof, E. Frenkel, and D. Kazhdan, An analytic version of the Langlands correspondence for complex curvesD. Gaiotto, T. Johnson-Freyd, and E. Witten, A note on some minimally supersymmetric models in two dimensionsO. Garcia-Prada and D. Salamon, A moment map interpretation of the Ricci form, Kahler-Einstein structures, and Teichmuller spacesE. Getzler and S. W. Pohorence, Global gauge conditions in the Batalin-Vilkovisky formalismV. Golyshev and D. Zagier, Interpolated Apery numbers, quasiperiods of modular forms, and motivic gamma functionsY.-P. Lee, H.-W. Lin, and C.-L. Wang, Quantum flips I: Local modelM. Marcolli, Aspects of $p$-adic geometry related to entanglement entropyS. Merkulov, Grothendieck-Teichmuller group, operads and graph complexes: A surveyO. Ogievetsky and S. Shlosman, Platonic compounds of cylinders.