5th Workshop on
Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories,
Moscow, June 6 – 11, 2016

On the workshop, we are going to cover two years of the development of combinatorial methods in geometry and mathematical physics. Besides topics that are traditionally present in the workshop agenda, notably, cluster algebras and topological recursion, we are going to organize discussion on new trends in the field including applications to cohomological field theories and the related combinatorial problems related to enumerations of maps loosely called Hurwitz numbers. We also address the rapidly developing applications to quantum Riemann surfaces and to knot theory and knot invariants. We are also going to cover the development of topological recursion as regarding Gromov–Witten invariants, Hitchin systems, and other non-Abelian-flavored applications


  • Laboratoire J.-V. Poncelet,
  • Steklov Mathematical Institute,
  • Higher School of Economics
  • Skoltech Center for Advanced Studies

Organizing Committee

  • Leonid Chekhov (Steklov and Poncelet),
  • Sergei Lando (HSE),
  • Igor Krichever (HSE and Columbia Univ.),
  • Armen Sergeev (Steklov),
  • Sergei Nechaev (Poncelet),
  • Liza Kryukova (Poncelet).

Scientific Program

Monday, June 6 (at the Independent Univ. of Moscow)

9:50-10:00 / Opening
10:00-11:00 / J.Andersen (QGM Aarhus, Denmark) / Geometric quantisation of Higgs moduli spaces
11:10-12:10 / G.Borot (MPIM, Bonn, Germany) / CohFTs from 2d rational CFTs

12:40-13:30 / E.Getzler (Northwestern Univ., Chicago, USA) / The analogue of the Moore-Seiberg classification of modular functors in open-closed two-dimensional field theory

15:00-15:50 / A.Bondal (Steklov Inst., Moscow) / Generalized moduli of pointed curves
15:50-16:40 / A. Belavin (Landau Inst., Chernogolovka) / Flat coordinates for the deformed Gepner Rings and Schur polynomials

17:00-17:50 / J.Harnad (Concordia Univ., Montreal) / Weighted Hurwitz numbers, tau-functions and topological recursion

17:50-18:30 / N.Do (Monach Univ., Australia) and M.Karev (St. Petersburg Univ.) Double monotone and strict monotone Hurwitz numbers
18:30-19:00 / A.Shapiro and G.Schrader (Berkeley Univ., USA) / Quantum groups and cluster algebras

Tuesday, June 7 (at the Steklov Inst.)

10:00-11:00 / M.Kazaryan (Steklov Inst., and HSE, Moscow) / Universal cohomological expressions for strata in genus zero Hurwitz spaces
11:10-12:10 / P.Norbury (Melbourne Univ., Australia) / Irregular spectral curves and Givental decomposition

12:40-13:30 / P.Sulkowski (Caltech, USA, and Warsaw Univ., Poland) / Matrix models and quantization

15:00-15:40 / M.Cafasso (Univ. Angers, France) / The Borodin-Okounkov identity and topological tau functions
15:40-16:10 / A.Alexandrov (Concordia Univ., Montreal, Canada) / Open intersection numbers, MKP integrable hierarchy and W-constraints
16:10-16:40 / B.Safnuk (Univ. of Central Michigan, USA) / Topological recursion for open intersection numbers

17:00-17:30 / S.Morier-Genoud (Jussieu- Paris Rive Gauche, France) / Friezes, moduli spaces and difference equations
17:30-18:00 / S.Nawata (QGM, Aarhus, Denmark) / Exact results with codimension two defects
18:00-18:30 / J.Yagi (Warsaw Univ., Poland) / Branes, TQFTs and integrable lattice models
18:40-19:00 / P.Kucharski (Warsaw Univ., Poland) / Knots, BPS states, and algebraic curves

Wednesday, June 8 (at the Steklov Inst.)

10:00-11:00 / M.Mazzocco (Loughborough Univ., UK) / Painleve monodromies and quantum cluster algebras
11:10-12:10 / A.Okounkov (Columbia Univ., USA and HSE, Moscow) / Elliptic stable envelope

12:40-13:40 / Rei Inoue (Chiba Univ., Japan) / The cluster structure of geometric R-matrices

Thursday, June 9 (at the Steklov Inst.)

10:00-11:00 / R.Kashaev (Univ. Geneva, Switzerland) / Four-dimensional aspects of the Teichmuller TQFT
11:10-12:10 / V.Fock (Strasbourg Univ., France) / Inverse spectral problem for GK integrable system

12:30-13:30 / A.Marshakov (Lebedev Inst., ITEP, and HSE, Moscow) W-algebras, twist fields, and isomonodromic deformations
15:00-16:00 / A.Mironov (Lebedev Inst. and ITEP, Moscow) / Matrix models, check operators, and modular kernels in CFT
16:00-16:30 / D.Lewanski (Univ. of Amsterdam) / On Hurwitz enumerative problems
16:30-17:00 / P.Dunin-Barkovsky (ITEP and Univ. of Amsterdam) / Dubrovin’s superpotential as a global spectral curve

17:10-17:40 / M.Manabe (Warsaw Univ., Poland) / Super quantum curves as super Virasoro singular vector
17:40-18:20 / P.Tumarkin (Durham Univ., UK) / Quotients of Coxeter groups, cluster algebras and marked surfaces
18:20-19:00 / Sh.Shakirov (Berkeley Univ., USA) and A.Popolitov (Univ. of Amsterdam and ITEP) / Exact solutions to matrix models in the strong coupling limit

Friday, June 10 (at the Independent Univ. of Moscow)

10:00-11:00 / B.Dubrovin (SISSA, Trieste, Italy) / Generating series for GUE correlators
11:10-12:00 / P.Zograf (St.Petersburg Department of Math. Inst. RAS) / Local index theorem for cofinite Fuchsian groups

12:30-13:20 / D.Orlov (Steklov Inst., Moscow) / Noncommutative varieties and their geometric realizations

15:00-15:50 / O.Marchal (Univ. St.Etienne, France) / Loop equations from differential systems
16:00-16:50 / S.Natanzon (HSE and ITEP, Moscow) / Formal solution to the h-KP hierarchy

17:00-17:50 / D.Korotkin (Concordia Univ., Montreal) / Symplectic geometry of the moduli space of projective structures in homological coordinates
17:50-18:20 / A.Buryak (ETH, Zurich, Switzerland) / Double ramification hierarchies
18:20-18:50 / A.Sleptsov (ITEP, Moscow) / Vassiliev invariants for pretzel knots

Saturday, June 11 (at the Skolkovo Inst. of Science and Technology)

10:00-10:50 / Chaiho Rim (Sogang Univ., Korea) / Matrix model for irregular conformal block and spectral curve
11:00-11:40 / V.Kulikov (Steklov Inst., Moscow) / On rigid G-surfaces and rigid plane curves

12:00-12:50 / T.Nakanishi (Nagoya Univ., Japan) / Generalized cluster algebras and dilogarithms of higher degrees

Workshop site :
http://www.poncelet.ru/conference/5th-workshop- …