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5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories
(June 6–11, 2016, Independent Moscow University, Steklov Mathematical Institute, Moscow)

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.

E-mail: ;
Website: https://www.mccme.ru/poncelet/moduli2016

Organizing Committee
Chekhov Leonid Olegovich
Lando Sergei Konstantinovich
Krichever Igor Moiseevich
Sergeev Armen Glebovich
Nechaev Sergei Konstantinovich
Kryukova Liza

Institutions
Laboratoire J.-V. Poncelet
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
State University – Higher School of Economics


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

June 6, 2016 (Mon)
1. Opening
June 6, 2016 09:50–10:00, Moscow, IUM, Bolshoi Vlas'evskii per., 11
2. Geometric quantisation of Higgs moduli spaces
J. E. Andersen
June 6, 2016 10:00–11:00, Moscow, IUM, Bolshoi Vlas'evskii per., 11
J. E. Andersen
  
3. CohFTs from 2d rational CFTs
Gaëtan Borot
June 6, 2016 11:10–12:10, Moscow, IUM, Bolshoi Vlas'evskii per., 11
Gaëtan Borot
  
4. Geometric higher groupoids and categories
E. Getzler
June 6, 2016 12:40–13:30, Moscow, IUM, Bolshoi Vlas'evskii per., 11
5. Orthogonal pairs and mutually unbiased bases
A. I. Bondal
June 6, 2016 15:00–15:50, Moscow, IUM, Bolshoi Vlas'evskii per., 11
A. I. Bondal
  
6. Flat coordinates for the deformed Gepner Rings and Schur polynomials
A. A. Belavin
June 6, 2016 16:00–16:40, Moscow, IUM, Bolshoi Vlas'evskii per., 11
A. A. Belavin
  
7. Quantum Hurwitz numbers and Macdonald polynomials
J. Harnad
June 6, 2016 17:00–17:50, Moscow, IUM, Bolshoi Vlas'evskii per., 11
J. Harnad
  
8. Orbifold monotonic Hurwitz numbers
N. Do, M. Karev
June 6, 2016 17:50–18:30, Moscow, IUM, Bolshoi Vlas'evskii per., 11
N. Do, M. Karev
  
9. Quantum groups, quantum tori, and the Grothendieck-Springer resolution
A. Shapiro, G. Schrader
June 6, 2016 18:30–19:00, Moscow, IUM, Bolshoi Vlas'evskii per., 11, Moscow
A. Shapiro, G. Schrader
  

June 7, 2016 (Tue)
10. Universal cohomological expressions for singularities in families of genus 0 stable maps
M. E. Kazarian
June 7, 2016 10:00–11:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
M. E. Kazarian
  
11. Irregular spectral curves and Givental decomposition
P. Norbury
June 7, 2016 11:10–12:10, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
P. Norbury
  
12. Quantum curves and conformal field theory I
P. Sulkowski
June 7, 2016 12:40–13:30, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
P. Sulkowski
  
13. The Borodin-Okounkov identity and topological tau functions
M. Cafasso
June 7, 2016 15:00–15:40, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
M. Cafasso
  
14. Open intersection numbers, Kontsevich–Penner model and cut-and-join operators
A. Alexandrov
June 7, 2016 15:40–16:10, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
A. Alexandrov
  
15. Topological recursion for open intersection numbers
B. Safnuk
June 7, 2016 16:10–16:40, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
B. Safnuk
  
16. Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
S. Morier-Genoud
June 7, 2016 17:00–17:30, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
S. Morier-Genoud
  
17. Exact results with codimension two defects
S. Nawata
June 7, 2016 17:30–18:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
S. Nawata
  
18. Quiver gauge theories and integrable lattice models
J. Yagi
June 7, 2016 18:00–18:30, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
J. Yagi
  
19. Knots, BPS states, and algebraic curves
P. Kucharski
June 7, 2016 18:40–19:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
P. Kucharski
  

June 8, 2016 (Wed)
20. Painleve monodromies and quantum cluster algebras
M. Mazzocco
June 8, 2016 10:00–11:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
M. Mazzocco
  
21. Elliptic stable envelope
A. Yu. Okounkov
June 8, 2016 11:10–12:10, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
A. Yu. Okounkov
  
22. The cluster structure of geometric R-matrices
R. Inoue
June 8, 2016 12:40–13:40, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
R. Inoue
  

June 9, 2016 (Thu)
23. Four-dimensional aspects of the Teichmuller TQFT
R. M. Kashaev
June 9, 2016 10:00–11:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
R. M. Kashaev
  
24. Inverse spectral problem for GK integrable system
V. Fock
June 9, 2016 11:10–12:10, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
V. Fock
  
25. Exact conformal blocks for the W-algebras and isomonodromic deformations
A. V. Marshakov
June 9, 2016 12:30–13:30, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
A. V. Marshakov
  
26. Relations among Racah matrices and new integrable structures behind knots
A. Mironov
June 9, 2016 15:00–16:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
A. Mironov
  
27. On Hurwitz enumerative problems
D. Lewanski
June 9, 2016 16:00–16:30, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
D. Lewanski
  
28. Dubrovin's superpotential as a global spectral curve
P. I. Dunin-Barkovskii
June 9, 2016 16:30–17:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
P. I. Dunin-Barkovskii
  
29. Super quantum curves as super Virasoro singular vector
M. Manabe
June 9, 2016 17:10–17:40, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
M. Manabe
  
30. Quotients of Coxeter groups, cluster algebras and marked surfaces
P. Tumarkin
June 9, 2016 17:40–18:20, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
P. Tumarkin
  
31. Exact solutions to matrix models in the strong coupling limit
Sh. R. Shakirov, A. V. Popolitov
June 9, 2016 18:20–19:00, Moscow, Steklov Mathematical Institute of RAS, ul. Gubkina, 8
Sh. R. Shakirov, A. V. Popolitov
  

June 10, 2016 (Fri)
32. Generating series for GUE correlators
B. A. Dubrovin
June 10, 2016 10:00–11:00, Moscow, IUM, Bolshoi Vlas'evskii per., 11
B. A. Dubrovin
  
33. Enumeration of Grothendieck's dessins d'enfant
P. G. Zograf
June 10, 2016 11:10–12:00, Moscow, IUM, Bolshoi Vlas'evskii per., 11
P. G. Zograf
  
34. Noncommutative varieties and their geometric realizations
D. O. Orlov
June 10, 2016 12:30–13:20, Moscow, IUM, Bolshoi Vlas'evskii per., 11
D. O. Orlov
  
35. Loop equations from differential systems
O. Marchal
June 10, 2016 15:00–15:50, Moscow, IUM, Bolshoi Vlas'evskii per., 11
O. Marchal
  
36. Formal solution to the h-KP hierarchy
S. M. Natanzon
June 10, 2016 16:00–16:50, Moscow, IUM, Bolshoi Vlas'evskii per., 11
S. M. Natanzon
  
37. Symplectic geometry of the moduli space of projective structures in homological coordinates
D. A. Korotkin
June 10, 2016 17:00–17:50, Moscow, IUM, Bolshoi Vlas'evskii per., 11
D. A. Korotkin
  
38. Double ramification hierarchies
A. Buryak
June 10, 2016 17:50–18:20, Moscow, IUM, Bolshoi Vlas'evskii per., 11
A. Buryak
  

June 11, 2016 (Sat)
39. Matrix model for irregular conformal block and spectral curve
Chaiho Rim
June 11, 2016 10:00–10:50, Moscow, Skolkovo Institute of Science and Technology, ul. Nobelya, 3
40. On rigid plane curves
Vik. S. Kulikov
June 11, 2016 11:00–11:40, Moscow, Skolkovo Institute of Science and Technology, ul. Nobelya, 3
41. Generalized cluster algebras and dilogarithms of higher degrees
T. Nakanishi
June 11, 2016 12:00–12:50, Moscow, Skolkovo Institute of Science and Technology, ul. Nobelya, 3
 
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