May 28 - June 2, 2012, Moscow, Russia

Laboratoire J.-V. Poncelet, Steklov Mathematical Institute,

and the Higher School of Economics




Practical details


Here is the finalized program of 3rd Workshop

3rd Workshop on Combinatorics of Moduli Spaces

Monday, May 28

(at the Independent University of Moscow)


9:50-10:00 Opening

10:00-11:00 B.Dubrovin (SISSA, Italy and Moscow State Univ.

On integrable hierarchies of topological type

11:10-12:10 S. Ribault (L2C, Montpellier and IPhT, Saclay, France)

Non-commutative spectral curves

and Seiberg-Witten equations in Liouville theory


coffee break


12:40-13:30 A. Sergeev (Steklov Math. Inst., Moscow)

Harmonic sphere conjecture




15:30-16:20 A. Bondal (Steklov Math. Inst., CAvli IPMU, and HSE, Moscow)

Noncommutative blow-downs, representation

theory and perverse sheaves


coffee break


16:35-17:25  V. Roubtsov (Univ. Angers, France, ITEP, Moscow)

Quadratic Poisson structures on representations

and double brackets


17:30-18:20  G. Helminck (Univ. Amsterdam, Netherlands)

A multipoint version of the KP hierarchy


18:45 Welcome party at the IUM.



Tuesday, May 29

(at the Independent University of Moscow)


10:00-11:00 N. Orantin (IST, Lisbon, Portugal)

A combinatorial proof of the BKMP conjecture

11:10-12:10 V. Fock (Strasbourg Univ., France)

Dimers, clusters, and integrable systems


coffee break


12:40-13:40 R. Kaufmann (Purdue Univ., Illinois)

Categorified correlators




15:30-16:30 T.Barbot (Avignon Univ., France)

Particles with spin in spacetimes in expansion


coffee break


16:40-17:15  S. Suetin (Steklov Mathematical Inst., Moscow)

Orthogonal polynomials and Widom's formulas


tea break


17:30-18:00  M. Mazin (Stony Brook Univ.)

Jacobi factors of quasi-homogeneous

plane curve singularities

M. Gorsky (Steklov Math. Inst., Moscow)

Distinguished bases for An root systems and parking functions


 Wednesday, May 30

(at the Steklov Mathematical Institute)


10:00-11:00 M. Shapiro -I (Michigan State Univ., USA)

Poisson properties of planar networks


tea break


11:20-12:30 S. Fomin (Univ. Michigan, Ann Arbor, USA)

Cluster structures in rings of SL3 invariants

12:40-13:40 M. Shapiro -II (Michigan State Univ., USA)

Higher pentagon map and

weighted directed networks


<afternoon and evening free>



 Thursday, May 31

(at the Steklov Mathematical Institute)


10:00-11:00 L.D. Faddeev (Steklov Math. Inst., St. Petersburg)

Spectral decomposition for the geodesic length operator

11:10-12:10 A. Marshakov (Lebedev Phys. Inst., ITEP, and HSE, Moscow)

Dimers, clusters, and integrable systems II


coffee break


12:40-13:40 A. Mironov (Lebedev Phys. Inst. and ITEP, Moscow)

Knots and integrability




15:20-16:00 G. Borot (Univ. Geneva)

Non-perturbative topological recursion and application

to the asymptotics of hyperbolic knot invariants

16:00-16:30 L. Spitz (Univ. of Amsterdam, Netherlands)

Combinatorics of Hurwitz numbers and relation to geometry

16:35-17:05 P. Tumarkin (Durham Univ., UK)

Cluster algebras from orbifolds


tea break


17:20-17:50 E. Smirnov (HSE and IUM, Moscow)

Schubert polynomials, plane partitions and associahedra

17:55-18:30 P. Dunin-Barkovsky (ITEP and Univ. of Amsterdam)

Inversion symmetry and Givental decomposition

18:30-19:00 A. Buryak (Univ. of Amsterdam)

Integrals of psi-classes over double ramification cycles


19:10 workshop dinner at the Steklov Mathematical Institute



Friday, June 01

(at the Independent Univ. of Moscow)


10:00-11:00 M. Mazzocco (Loughborough Univ., UK)

Quantum Painleve cubic

11:10-12:10 P.Zinn-Justin (Univ. Paris VI, France)

Alternating sign matrices and

descending plane partitions


coffee break


12:40-13:30 P. Sulkowski (Caltech, USA)





15:30-16:20 S. Shadrin (Univ. of Amsterdam, Netherlands)

Towards Lax formulation of integrable hierarchies of topological type

16:30-17:20 A. Zabrodin (Semenov Chem. Physics Inst.. ITEP, and HSE, Moscow)

Quantum transfer matrices and classical tau-functions


tea break


17:40-18:20 D. Korotkin (Concordia Univ., Montreal)

Prym-Tyurin class and tau-function


Saturday, June 02

(at the HIgher School of Economics)


10:00-11:00 Siye Wu (Hong Kong Univ.)

Index Bundle Gerbes and Moduli Spaces

11:10-12:10 S. Natanzon (Belozersky Phys.-Chem. Inst., HSE, ITEP, and IUM, Moscow)

Disk Hurwitz numbers and Half-Cut-and-Join operators


coffee break


12:40-13:30 V. Bukhshtaber (Steklov Math. Inst. and Moscow State Univ.)

Algebraic integrable quadratic

dynamic systems and the heat equation






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