Description
Book SynopsisOffers 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.
Table of Contents
- Part I. Integrable Systems: 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 equations
- P. P. Boalch, Topology of the Stokes phenomenon
- G. 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 $\mathcyr{B}$-theorem
- L. David and C. Hertling, Meromorphic connections over F-manifolds
- G. Jorjadze and S. Theisen, Canonical maps and integrability in $T\bar{T}$ deformed 2d CFTs
- I. Krichever and A. Varchenko, Incarnations of XXX $\widehat{\mathfrak{sl}_N}$ Bethe ansatz equations and integrable hierarchies
- F. Magri, The Kowalewski separability conditions
- O. Mokhov and N. A. Strizhova, On the Liouville integrable reduction of the associativity equations in the case of three primary fields
- S. M. Natanzon and A. Yu. Orlov, Hurwitz numbers from matrix integrals over Guassian measure
- N. Reshetikhin, Spin Calogero-Moser models on symmetric spaces
- M. Semenov-Tian-Shansky, Quantum toda lattice: A challenge for representation theory
- A. O. Smirnov, M. V. Pavlov, V. B. Matveev, and V. S. Gerdjikov, Finite-gap solutions of the Mikhalev equation
- I. A. B. Strachan, Flat coordinates on orbit spaces: From Novikov algebras to cyclic quotient singularities
- K. Takasaki, Cubic Hodge integrals and integrable hierarchies of Volterra type
- G. Tian and G. Xu, Gauged Witten equation and adiabatic limit
- Part II. Quantum Theories and Algebraic Geometry: 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.
