COMBINATORICS OF MODULI SPACES,

   HURWITZ NUMBERS, AND CLUSTER ALGEBRAS

June 2-7, 2008, Moscow, Russia

Laboratoire J.-V. Poncelet and

Steklov Mathematical Institute

General

Announcement

Participants

Practical details

Program

Monday, June 02

(at the Independent University of Moscow)

 

9:50-10:00 Opening

10:00-11:00 R.C.Penner (USC, Los Angeles and Univ. Aarhus, Denmark)

Compactifications of moduli space I: combinatorics

11:10-12:10 J. Andersen (Univ. Aarhus, Denmark)

Toeplitz operators, Hitchin's connection and the Reshetikhin-Turaev TQFT (I)

 

coffee break

 

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

Quantization of Universal Teichm\"uller Space

 

lunch

 

15:30-16:20 T. Barbot (ENS, Lyon)

Metric convergence of spacelike slices

 

coffee break

 

16:35-17:15  E. Gorsky (MSU, IUM)

The equivariant Euler characteristic of the moduli spaces of pointed hyperelliptic curves

 

17:20-18:10  A.Bondal (Steklov Math. Inst. and Aberdeen Univ., UK)

 

18:30 Welcome party at the IUM.

 

 

Tuesday, June 03

(at the Steklov Mathematical Institute)

 

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

Toeplitz operators, Hitchin's connection and the Reshetikhin-Turaev TQFT (II)

11:10-12:20 S. Fomin (Ann Arbor, USA)

Cluster algebras and triangulated surfaces (I)

 

coffee break

 

<afternoon and evening free: Novikov's day at Steklov>

 

 

 Wednesday, June 04

(at the Steklov Mathematical Institute)

 

10:00-11:00 R.C. Penner  (USC, Los Angeles and U.Aarhus, Denmark)

Compactifications of moduli space II: geometry

11:10-12:20 S. Fomin (Ann Arbor, USA)

Cluster algebras and triangulated surfaces II.

(Cluster algebras associated with bordered surfaces)

 

coffee break

 

12:40-13:30 R. Kaufmann (Purdue, USA)

Operad structures on combinatorial moduli spaces and their actions

 

lunch

 

15:30-16:20 D. Korotkin (Concordia U., Montreal)

Bergman tau-function on Hurwitz spaces and spaces of Abelian differentials: Singularities and links to determinant of Laplacian

16:30-17:10 V. Shramchenko (U.Oxford, Sherbrook Univ., Canada)

Two dual Riemann-Hilbert problems associated to Hurwitz spaces

 

tea break

 

17:30-18:10 A. Bene  (USC, Los Angeles and U.Aarhus, Denmark)

 

Thursday, June 05

(at the Independent Univ. of Moscow)

 

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

TBA

11:10-12:10 A. Marshakov (FIAN and ITEP, Moscow)

Seiberg-Witten theory, Gromov-Witten classes and extended Toda hierarchy

 

coffee break

 

12:40-13:30 A. Mironov (FIAN and ITEP, Moscow)

Solving the Plateau problem in AdS/CFT correspondence

 

lunch

 

15:30-16:20 T. Sakasai (Tokyo Institute of Technology)

Twisted first cohomology of Lagrangian-type mapping class groups acting on the first homology of a surface

 

tea break

 

16:40-17:20 J.-B. Meilhan  (Univ. Aarhus, Denmark)

TBA

 

19:00 workshop dinner at the Steklov Mathematical Institute

 

 

Friday, June 06

(at the Independent Univ. of Moscow)

 

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

TBA

11:10-12:10 Yu. Zarkhin (PennState)

Families of hyperelliptic jacobians: endomorphisms and monodromy

 

coffee break

 

12:40-13:30 D. Zvonkine (Jussieu, Paris)

On spiders and graph embeddings

 

lunch

 

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

BCOV theory via Givental group action on CohFT

16:30-17:10 I.Artamkin (SUHSE, IUM)

TBA

 

tea break

 

17:20-18:00 TBA

 

Saturday, June 07

(at the Independent Univ. of Moscow)

 

10:00-10:50 S. Natanzon (Belozersky Phys.-Chem. Inst., ITEP, and IUM)

Hurwitz numbers of seamed Klein surfaces

11:00-11:50 M.Kazaryan (Steklov Math. Inst. and IUM)

Recursions for Hurwitz numbers and integrable hierarchies

 

coffee break

 

12:10-13:00 G. Shabat (Russian State Humanitarian Univ. and ITEP)

On Fried curves in Hurwitz spaces

 

closing

 

 

 


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