6th International Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion (June 4–9, 2018, Independent University of Moscow, Steklov Mathematical Institute, Skolkovo Institute of Science and Technology, Moscow)
n two years passed since the 5th Workshop in 2016, we witnessed a rapid development in the field of combinatorial methods in application to geometry and mathematical physics. Besides topics traditionally present in the workshop agenda, notably, cluster algebras and topological recursion, we are going to organize discussion on new, interdisciplinary in their nature, trends in this field including a newly constructed abstract topological recursion apres Kontsevich and Soibelman, the deepened links to cohomological field theories, and relations to quantum information systems.
We are going to discuss applications to quantum Riemann surfaces and to knot theory and knot invariants. Not in the last place is the modern development of cluster structures in Lie algebras, including classical and quantum algebras of monodromies of Fuchsian systems, and other fascinating topics related to clusters.
We hope to bring together specialists actively working in the field for exchanging ideas in the inspiring scientific environment of early summer in Moscow.
Conference schedule
Abstracts book
Organizing Committee
Chekhov Leonid Olegovich
Lando Sergei Konstantinovich
Krichever Igor Moiseevich
Nechaev Sergei Konstantinovich
Pyatov Pavel Nikolaevich
Sergeev Armen Glebovich
Kryukova Liza
Organisations
Skolkovo Institute of Science and Technology Steklov Mathematical Institute of Russian Academy of Sciences, Moscow National Research University Higher School of Economics, Moscow Interdisciplinary Scientific Center J.V. Poncelet 

6th International Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion, Moscow, June 4–9, 2018 


June 4, 2018 

1. 
ELSVtype formula for the monotone Hurwitz numbers Maxim Kazarian June 4, 2018 10:00–11:00, Moscow, Higher School of Economics





2. 
Geometry and dynamics of Markov triples Alexander Veselov June 4, 2018 11:00–12:00, Moscow, Higher School of Economics





3. 
The BatalinVilkovisky formalism for field theory and general covariance Ezra Getzler June 4, 2018 12:30–13:40, Moscow, Higher School of Economics





4. 
Special geometry on CalabiYau moduli spaces and $Q$invariant Frobenius rings Alexander Belavin June 4, 2018 15:00–15:40, Moscow, Higher School of Economics





5. 
A new cohomology class on the moduli space of stable curves Paul Norbury June 4, 2018 15:50–16:40, Moscow, Higher School of Economics





6. 
Generalisations of the HarerZagier recursion for 1point functions Norman Do June 4, 2018 17:00–17:40, Moscow, Higher School of Economics





7. 
Partitions of unity in $SL(2,\mathbb Z)$, negative continued fractions and dissections of polygons Valentin Ovsienko June 4, 2018 17:40–18:10, Moscow, Higher School of Economics





8. 
Counting ribbon graphs using quantum field theory Vasilisa Shramchenko June 4, 2018 18:10–18:40, Moscow, Higher School of Economics





9. 
Super pentagon relation and mapping class group Nezhla Aghaei June 4, 2018 18:40–19:10, Moscow, Higher School of Economics






June 5, 2018 

10. 
Towards new MirzakhaniMcShane identities Gaetan Borot June 5, 2018 10:00–11:00, Moscow, Steklov Mathematical Institute





11. 
Topological recursion, isomonodromic systems and WKB Nicolas Orantin June 5, 2018 11:20–12:20, Moscow, Steklov Mathematical Institute





12. 
Higher Airy structures and $W$algebras Vincent Bouchard June 5, 2018 12:20–13:20, Moscow, Steklov Mathematical Institute





13. 
Some numerology around Schubert calculus Paul ZinnJustin June 5, 2018 15:00–15:40, Moscow, Steklov Mathematical Institute





14. 
Graded Riemann surfaces and open descendent integrals Jake Solomon June 5, 2018 15:50–16:40, Moscow, Steklov Mathematical Institute





15. 
Extended rspin theory in all genera and the discrete KdV hierarchy Alexander Buryak June 5, 2018 17:00–17:50, Moscow, Steklov Mathematical Institute





16. 
Open KdV hierarchy and minimal gravity on disk Chaiho Rim June 5, 2018 17:50–18:30, Moscow, Steklov Mathematical Institute





17. 
Quivers with noninteger weights Pavel Tumarkin June 5, 2018 18:30–19:10, Moscow, Steklov Mathematical Institute






June 6, 2018 

18. 
Exotic cluster algebras Michael Shapiro June 6, 2018 10:00–11:00, Moscow, Steklov Mathematical Institute





19. 
Holomorphic anomaly equations and GromovWitten invariants ChiuChu Melissa Liu June 6, 2018 11:00–12:00, Moscow, Steklov Mathematical Institute





20. 
Morsifications and mutations Sergey Fomin June 6, 2018 12:30–13:30, Moscow, Steklov Mathematical Institute






June 7, 2018 

21. 
Knots, quivers, and combinatorics Piotr Sulkowski June 7, 2018 10:00–11:00, Moscow, Steklov Mathematical Institute





22. 
Symplectic forms on moduli spaces of orbifolds Leon Takhtajan June 7, 2018 11:00–12:00, Moscow, Steklov Mathematical Institute





23. 
Link polynomials: tangle calculus and topological vertex Andrei Mironov June 7, 2018 12:30–13:30, Moscow, Steklov Mathematical Institute





24. 
Deautonomization of cluster integrable systems, I Andrei Marshakov June 7, 2018 15:00–16:00, Moscow, Steklov Mathematical Institute





25. 
Deautonomization of cluster integrable systems, II Pavlo Gavrylenko June 7, 2018 16:00–16:30, Moscow, Steklov Mathematical Institute





26. 
Deautonomization of cluster integrable systems, III Misha Bershtein June 7, 2018 16:30–17:00, Moscow, Steklov Mathematical Institute





27. 
CalogeroPainlevé systems, their isomonodromic formulation and noncommutative monodromy data Mattia Cafasso June 7, 2018 17:20–18:00, Moscow, Steklov Mathematical Institute





28. 
Towards bosonic map for plane partitions Alex Popolitov June 7, 2018 18:10–18:40, Moscow, Steklov Mathematical Institute





29. 
Virasoro contraints for simple maps and free probability Danilo Lewanski June 7, 2018 18:40–19:10, Moscow, Steklov Mathematical Institute






June 8, 2018 

30. 
Acoordinate on cluster integrable systems are special values of a taufunction Vladimir Fock June 8, 2018 10:30–11:30, Moscow, Steklov Mathematical Institute





31. 
The combinatorial formula for open descendent integrals Ran Tessler June 8, 2018 11:50–12:40, Moscow, Steklov Mathematical Institute





32. 
Decorated quantum character variety Vladimir Roubtsov June 8, 2018 12:40–13:30, Moscow, Steklov Mathematical Institute





33. 
Weighted Hurwitz numbers and topological recursion Alexander Alexandrov June 8, 2018 15:00–15:40, Moscow, Steklov Mathematical Institute





34. 
Physics and geometry of knotsquivers correspondence Piotr Kucharski June 8, 2018 15:40–16:10, Moscow, Steklov Mathematical Institute





35. 
Perverse sheaves on Riemann surfaces Alexei Bondal June 8, 2018 16:10–17:00, Moscow, Steklov Mathematical Institute





36. 
KP theory, planar bipartite networks in the disk and rational degenerations of Mcurves Simonetta Abenda June 8, 2018 17:20–17:50, Moscow, Steklov Mathematical Institute





37. 
Real Hurwitz numbers and simple rational functions Boulos El Hilany June 8, 2018 17:50–18:20, Moscow, Steklov Mathematical Institute






June 9, 2018 

38. 
Enumeration of meanders and volumes of moduli spaces of quadratic differentials Peter Zograf June 9, 2018 11:00–12:00, Moscow, Skolkovo Institute of Science and Technology





39. 
MasurVeech volumes, SiegelVeech constants and intersection numbers of moduli spaces Anton Zorich June 9, 2018 12:00–13:00, Moscow, Skolkovo Institute of Science and Technology





40. 
Giventaltype reconstruction at a nonsemisimple point Alexei Basalaev June 9, 2018 13:40–14:10, Moscow, Skolkovo Institute of Science and Technology





41. 
Moduli space from a nonorientable surface and duality Siye Wu June 9, 2018 14:10–14:50, Moscow, Skolkovo Institute of Science and Technology





