Integrability, Quantization, and Geometry

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 $Tbar{T}$ 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.