Integrability, Quantization, and Geometry

I. Integrable Systems

AvSergey Novikov,Igor Krichever

Häftad, Engelska, 2021

Del i serien Proceedings of Symposia in Pure Mathematics

1 613 kr

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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:2021-05-30
Mått:178 x 254 x undefined mm
Vikt:943 g
Format:Häftad
Språk:Engelska
Serie:Proceedings of Symposia in Pure Mathematics
Antal sidor:516
Förlag:American Mathematical Society
ISBN:9781470455910

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

K. Aleshkin and K. Saito, Primitive forms without higher residue structure and integrable hierarchies (I)M. Alkadhem, G. Antoniou, and M, Feigin, Solutions of $BC_n$ type of WDVV equationsP. P. Boalch, Topology of the Stokes phenomenonG. Cotti and A. Varchenko, Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and $\mathcyr{B}$-theoremL. David and C. Hertling, Meromorphic connections over F-manifoldsG. Jorjadze and S. Theisen, Canonical maps and integrability in $T\bar{T}$ deformed 2d CFTsI. Krichever and A. Varchenko, Incarnations of XXX $\widehat{\mathfrak{sl}_N}$ Bethe ansatz equations and integrable hierarchiesF. Magri, The Kowalewski separability conditionsO. Mokhov and N. A. Strizhova, On the Liouville integrable reduction of the associativity equations in the case of three primary fieldsS. M. Natanzon and A. Yu. Orlov, Hurwitz numbers from matrix integrals over Guassian measureN. Reshetikhin, Spin Calogero-Moser models on symmetric spacesM. Semenov-Tian-Shansky, Quantum toda lattice: A challenge for representation theoryA. O. Smirnov, M. V. Pavlov, V. B. Matveev, and V. S. Gerdjikov, Finite-gap solutions of the Mikhalev equationI. A. B. Strachan, Flat coordinates on orbit spaces: From Novikov algebras to cyclic quotient singularitiesK. Takasaki, Cubic Hodge integrals and integrable hierarchies of Volterra typeG. Tian and G. Xu, Gauged Witten equation and adiabatic limit.