|
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.
 Program
Abstracts
Organizing Committee
Chekhov Leonid Olegovich
Lando Sergei Konstantinovich
Krichever Igor Moiseevich
Nechaev Sergei Konstantinovich
Pyatov Pavel Nikolaevich
Sergeev Armen Glebovich
Kryukova Liza
Institutions
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 (Mon) |
 |
| 1. |
ELSV-type 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 Batalin-Vilkovisky 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 Calabi-Yau 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 Harer-Zagier recursion for 1-point 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 (Tue) |
|
| 10. |
Towards new Mirzakhani-McShane 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 Zinn-Justin
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 r-spin 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 non-integer weights
Pavel Tumarkin
June 5, 2018 18:30–19:10, Moscow, Steklov Mathematical Institute
|
|
|
|
|
|
|
June 6, 2018 (Wed) |
|
| 18. |
Exotic cluster algebras
Michael Shapiro
June 6, 2018 10:00–11:00, Moscow, Steklov Mathematical Institute
|
|
|
|
|
|
| 19. |
Holomorphic anomaly equations and Gromov-Witten invariants
Chiu-Chu 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 (Thu) |
|
| 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. |
Calogero-Painlevé systems, their isomonodromic formulation and non-commutative 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 (Fri) |
|
| 30. |
A-coordinate on cluster integrable systems are special values of a tau-function
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 knots-quivers 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 M-curves
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 (Sat) |
|
| 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. |
Masur-Veech volumes, Siegel-Veech constants and intersection numbers of moduli spaces
Anton Zorich
June 9, 2018 12:00–13:00, Moscow, Skolkovo Institute of Science and Technology
|
|
|
|
|
|
| 40. |
Givental-type reconstruction at a non-semisimple point
Alexei Basalaev
June 9, 2018 13:40–14:10, Moscow, Skolkovo Institute of Science and Technology
|
|
|
|
|
|
| 41. |
Moduli space from a non-orientable surface and duality
Siye Wu
June 9, 2018 14:10–14:50, Moscow, Skolkovo Institute of Science and Technology
|
|
|
|
|
|
|
Contact us: