May 26 - 31, 2014, Moscow, Russia

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

and the Higher School of Economics




Practical details


Here is the final program of 4th Workshop

4th Workshop on Combinatorics of Moduli Spaces

Monday, May 26

(at the Independent University of Moscow)


9:50-10:00 Opening

10:00-11:00 J.Andersen (QGM Aarhus, Denmark)

The representation of the mapping class group from the quantum

Chern-Simons theory for the complex gauge groups SL(n,C)

11:10-12:10 B. Eynard (IPhT, Saclay, France)

An ABC of mirror symmetry


coffee break


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

On the moduli space of Yang--MIlls fields on R4




15:30-16:30 T. Nakanishi (Nagya Univ., Japan)

Exact WKB analysis and cluster algebras I


coffee break


16:50-17:40  V. Roubtsov (Univ. Angers, France, ITEP, Moscow)



17:40-18:10  K. Iwaki (RIMS, Kyoto, Japan)

Exact WKB analysis and cluster algebras II


18:45 Welcome party at the IUM.



Tuesday, May 27

(at the Independent University of Moscow)


10:00-11:00 V. Fock (Strasbourg Univ., France)

Combinatoris and solutions of cluster integrable systems

11:10-12:10 Don Zagier (College de France, Paris, MPIM, Bonn)

Partitions and quasimodular forms


coffee break


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

Moduli spaces, 3d gauge theories and homological knot invariants




15:00-15:50 G. Borot (MPIM, Bonn)

Blobbed topological recursion


coffee break


16:10-17:00  P. Norbury (Melbourne Univ., Australia)

Discretized moduli space and cohomological field theory


17:00-17:40 D. Korotkin (Concordia Univ., Montreal)

Bergman tau-functions and Witten cycles on Mg,n


tea break


18:00-18:30  H. Williams (Berkeley, USA)

Integrable systems, canonical bases, and N=2 gauge theory

18:35-19:05 A. Basalaev (HSE and Hannover Univ.)

Primitive form for the orbifolded LG B-model


 Wednesday, May 28

(at the Steklov Mathematical Institute)


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

Cluster structures on Poisson-Lie groups


tea break


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

Subtraction-free complexity

12:35-13:35 A.Zorich (Univ. Paris VII, France)

Pillowcase covers, volumes of moduli spaces

and diffusion in periodic billiards


<afternoon and evening free>



 Thursday, May 29

(at the Steklov Mathematical Institute)


10:00-11:00 I. Krichever (Columbia Univ., USA, and HSE)

Degenerations of real nrmalized differentials

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



coffee break


12:30-13:10 R. Kashaev (Geneva Univ.)

Vertex changing in Teichmuller TQFT

13:10-13:40 Y. Zenkevich (Inst. Nucl. Res., Moscow)

Spectral duality between Heisenberg chain and Gaudin model

13:40-14:00 G. Mutafyan (HSE)

Characters of representations of the quantum toroidal algebra




16:00-17:00 A. Mironov (Lebedev Phys. Inst. and ITEP, Moscow)

Hypergeometric Hurwitz partition functions


tea break


17:30-18:00 A. Felikson (Durham Univ., UK)

Bases for cluster algebras arising from triangulated orbifolds

18:10-18:40 P. Dunin-Barkovsky (ITEP and Univ. of Amsterdam)

Quantum spectral curve for the Gromov-Witten theory of the complex projective line

18:30-19:00 A. Popolitov (Univ. of Amsterdam and ITEP)

Cluster variety face of quantum groups


19:30 workshop dinner at the Steklov Mathematical Institute



Friday, May 30

(at the Independent Univ. of Moscow)


10:00-11:00 P. Zograf (St.Petersburg Department of Math. Inst. RAS)

Enumeration of Grothendieck's dessins 1:

Virasoro constraints nd KP hierarchy

11:10-12:10 M.Kazaryan (Steklov and HSE, Moscow)

Enumeration of Grothendieck's dessins 2:

Topological recursion


coffee break


12:40-13:20 J. Harnad (Concordia Univ., Montreal)

2D Toda tau functions as combinatorial generating functions




15:30-16:20 P.Zinn-Justin (Univ. Paris VI, France)

The geometry of loop models

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

Dispersionless DKP hierarchy and elliptic Loewner equation


tea break


17:40-18:20 Siye Wu (Hong Kong Univ.)

Hitchin's equations over a non-orientable manifold


Saturday, May 31

(at the Higher School of Economics)


10:00-10:50 O. Marchal (Univ. St.Etienne, France)

Painleve 5 equation and the topological recursion

11:00-12:00 S. Natanzon (HSE and ITEP, Moscow)

Symmetric solutions to dispersionless 2D Toda hierarchy,

Hurwitz numbers and conformal dynamics


coffee break


12:30-13:30 D.Orlov (Steklov, Moscow)

Smooth noncommutative varieties and their gluing






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