Advanced School and Workshop in Real and Complex Dynamics

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Advanced School and Workshop in Real and Complex Dynamics | (smr 2460)

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Monday, 20 May 2013

09:00 - 10:30 REGISTRATION & ADMINISTRATIVE FORMALITIES

Location: Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1)
- 09:00 REGISTRATION & ADMINISTRATIVE FORMALITIES 1h30'
10:30 - 11:00 Opening Remarks

Location: Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1)
- 10:30 Opening Remarks 30'
  
  Speaker: S. Luzzatto (ICTP, Italy)

11:00 - 12:30 One - Dimensional Complex Dynamics 1

11:00 One - Dimensional Complex Dynamics 1 1h30'

Speaker:	M. Lyubich (Stony Brook, New York, USA)
Material:	lecture notes

12:30 - 14:30 Lunch break

Location: Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1)
- 12:30 Lunch break 2h0'

14:30 - 16:00 One - Dimensional Real Dynamics 1

Location:

Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1)

14:30 One - Dimensional Real Dynamics 1 1h30'

Speaker:	S. van Strien (Imperial college, UK)
Material:	lecture notes

16:00 - 16:30 Break

Location: Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1)
- 16:00 Break 30'

16:30 - 18:00 Two - Dimensional Real Dynamics 1

Location:

Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1)

16:30 Two - Dimensional Real Dynamics 1 1h30'

Speaker:	M. Martens (Stony Brook, New York, USA)
Material:	lecture notes

Tuesday, 21 May 2013

09:00 - 10:30 Two - Dimensional Complex Dynamics 1
- 09:00 Two - Dimensional Complex Dynamics 1 1h30'
  
  Speaker: J. Smillie (Cornell University, Ithaca NY, USA)
10:30 - 11:00 Break
- 10:30 Break 30'
11:00 - 12:30 One - Dimensional Complex Dynamics 2
- 11:00 One - Dimensional Complex Dynamics 2 1h30'
  
  Speaker: M. Lyubich (Stony Brook, New York, USA)
12:30 - 14:30 Lunch break
- 12:30 Lunch break 2h0'

14:30 - 16:00 One - Dimensional Real Dynamics 2

14:30 One - Dimensional Real Dynamics 2 1h30'

Speaker:	S. van Strien (Imperial College, UK)
Material:	lecture notes

16:00 - 16:30 Break
- 16:00 Break 30'
16:30 - 18:00 Two - Dimensional Real Dynamics 2
- 16:30 Two - Dimensional Real Dynamics 2 1h30'
  
  Speaker: M. Martens (Stony Brook, New York, USA)

Wednesday, 22 May 2013
- 09:00 - 10:30 Two - Dimensional Complex Dynamics 2
  - 09:00 Two - Dimensional Complex Dynamics 2 1h30'
    
    Speaker: J. Smillie (Cornell University, Ithaca NY, USA)
- 10:30 - 11:00 Break
  - 10:30 Break 30'
- 11:00 - 12:30 One - Dimensional Complex Dynamics 3
  - 11:00 One - Dimensional Complex Dynamics 3 1h30'
    
    Speaker: M. Lyubich (Stony Brook, New York, USA)
- 12:30 - 14:30 Lunch break
  - 12:30 Lunch break 2h0'
- 14:30 - 16:00 Two - Dimensional Real Dynamics 3
  - 14:30 Two - Dimensional Real Dynamics 3 1h30'
    
    Speaker: M. Martens (Stony Brook, New York, USA)
- 19:30 - 22:30 SOCIAL DINNER at TAVERNETTA AL MOLO
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All Participants are invited!
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  - 19:30 SOCIAL DINNER at TAVERNETTA AL MOLO 3h0'
Thursday, 23 May 2013
- 11:00 - 12:30 One - Dimensional Real Dynamics 3
  - 11:00 One - Dimensional Real Dynamics 3 1h30'
    
    Speaker: S. van Strien (Imperial College, UK)
- 12:30 - 14:30 Lunch break
  - 12:30 Lunch break 2h0'
- 14:30 - 16:00 Two - Dimensional Complex Dynamics 3
  - 14:30 Two - Dimensional Complex Dynamics 3 1h30'
    
    Speaker: J. Smillie (Cornell University, Ithaca NY, USA)
- 16:00 - 16:30 Break
  - 16:00 Break 30'
- 16:30 - 18:00 One - Dimensional Complex Dynamics 4
  - 16:30 One - Dimensional Complex Dynamics 4 1h30'
    
    Speaker: M. Lyubich (Stony Brook, New York, USA)
Friday, 24 May 2013
- 09:00 - 10:30 One - Dimensional Real Dynamics 4
  - 09:00 One - Dimensional Real Dynamics 4 1h30'
    
    Speaker: S. van Strien (Imperial College, UK)
- 10:30 - 11:00 Break
  - 10:30 Break 30'
- 11:00 - 12:30 Two - Dimensional Real Dynamics 4
  - 11:00 Two - Dimensional Real Dynamics 4 1h30'
    
    Speaker: M. Martens (Stony Brook, New York, USA)
- 12:30 - 14:30 Lunch break
  - 12:30 Lunch break 2h0'
- 14:30 - 16:00 Two - Dimensional Complex Dynamics 4
  - 14:30 Two - Dimensional Complex Dynamics 4 1h30'
    
    Speaker: J. Smillie (Cornell University, Ithaca NY, USA)
Monday, 27 May 2013
- 09:30 - 10:00 REGISTRATION OF THE PARTICIPANTS FOR THE WORKSHOP
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Those who already registered for the School do not need to register again.
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  Location: Adriatico Guest House - Kastler Lecture Hall Area (Lower Level 1)
  - 09:30 REGISTRATION OF THE PARTICIPANTS FOR THE WORKSHOP 30'
- 10:00 - 10:20 Opening
  - 10:00 Opening 20'
- 10:20 - 11:10 Dynamical degree and pseudo-automorphisms
  - 10:20 Dynamical degree and pseudo-automorphisms 50'
    
    Speaker: E. Bedford (Indiana University, Bloomington IN, USA)
- 11:10 - 11:40 Break
  - 11:10 Break 30'
- 11:40 - 12:30 Hénon renormalisation for stationary combinatorics
  - 11:40 Hénon renormalisation for stationary combinatorics 50'
    
    Speaker: P. Hazard (University of Warwick, Coventry, UK.)
- 12:30 - 14:30 Lunch break
  - 12:30 Lunch break 2h0'
- 14:30 - 15:20 Renormalization and rigidity for area-preserving maps
  - 14:30 Renormalization and rigidity for area-preserving maps 50'
    
    Speaker: D. Gaidashev (University of Uppsala, Uppsala, Sweden)
- 15:20 - 15:50 Break
  - 15:20 Break 30'
- 15:50 - 16:40 Antipode Preserving Cubic Rational Maps and Herman Rings
  - 15:50 Antipode Preserving Cubic Rational Maps and Herman Rings 50'
    
    Speaker: A. Medina Bonifant (University of Rhode Island, Kingston RI, USA)
- 16:40 - 17:10 Break
  - 16:40 Break 30'
- 17:10 - 18:00 Holomorphic Dynamics of automorphisms:Rigidity and equidistribution
  - 17:10 Holomorphic Dynamics of automorphisms:Rigidity and equidistribution 50'
    
    Speaker: N. Sibony (Université Paris-Sud, Orsay, France)
Tuesday, 28 May 2013
- 09:00 - 09:50 About the Inou Shishikura renormalization
  - 09:00 About the Inou Shishikura renormalization 50'
    
    Speaker: A. Chéritat (Université Paul Sabatier, Toulouse, France)
- 09:50 - 10:20 Break
  - 09:50 Break 30'
- 10:20 - 11:10 The Julia sets of a class of post-critically finite endomorphisms of CP^n
  - 10:20 The Julia sets of a class of post-critically finite endomorphisms of CP^n 50'
    
    Speaker: V. Nekrashevych (Texas A&M University, College Station, TX, USA)
- 11:10 - 11:40 Break
  - 11:10 Break 30'
- 11:40 - 12:30 Sums of Cantor sets, convolutions of singular measures, and spectral properties of quasicrystals
  - 11:40 Sums of Cantor sets, convolutions of singular measures, and spectral properties of quasicrystals 50'
    
    Speaker: A. Gorodetski (University of California, Irvine Irvine CA, USA)
- 12:30 - 15:00 Lunch break
  - 12:30 Lunch break 2h30'
- 15:00 - 15:50 Circle diffeomorphisms with several break points: symmetry and hyperbolicity of the renormalization operator
  - 15:00 Circle diffeomorphisms with several break points: symmetry and hyperbolicity of the renormalization operator 50'
    
    Speaker: A. Teplinsky (Institute of Mathematics NASU, Kiev, Ukraine)
- 15:50 - 16:20 Break
  - 15:50 Break 30'
- 16:20 - 17:10 The billiard on the regular polygon
  - 16:20 The billiard on the regular polygon 50'
    
    Speaker: A. Avila (Université Paris 6, Paris, France)
- 17:10 - 17:20 GROUP PHOTO ON TERRACE LEVEL (AGH)
  - 17:10 GROUP PHOTO ON TERRACE LEVEL (AGH) 10'
Wednesday, 29 May 2013
- 09:00 - 09:50 Stability and bifurcations for polynomial automorphisms of C^2
  - 09:00 Stability and bifurcations for polynomial automorphisms of C^2 50'
    
    Speaker: R. Dujardin (Centre de Mathématiques Laurent Schwartz, Palaiseau, France)
- 09:50 - 10:20 Break
  - 09:50 Break 30'
- 10:20 - 11:10 Singular measures of circle homeomorphisms with several break points
  - 10:20 Singular measures of circle homeomorphisms with several break points 50'
    
    Speaker: H. Marzougui (Université de Carthage, Bizerte, Tunisia)
- 11:10 - 11:40 Break
  - 11:10 Break 30'
- 11:40 - 12:30 Rigidity of Smooth Critical Circle Maps
  - 11:40 Rigidity of Smooth Critical Circle Maps 50'
    
    Speaker: W. De Melo (IMPA, Rio de Janeiro, Brazil)
- 12:30 - 14:30 Lunch break
  - 12:30 Lunch break 2h0'
Thursday, 30 May 2013
- 09:00 - 09:50 Satellite renormalization for complex quadratic polynomials
  - 09:00 Satellite renormalization for complex quadratic polynomials 50'
    
    Speaker: M. Shishikura (Kyoto University, Kyoto, Japan)
- 09:50 - 10:20 Break
  - 09:50 Break 30'
- 10:20 - 11:10 Fatou components in two complex variables
  - 10:20 Fatou components in two complex variables 50'
    
    Speaker: H. Peters (University of Amsterdam, Amsterdam, The Netherlands)
- 11:10 - 11:40 Break
  - 11:10 Break 30'
- 11:40 - 12:30 Trinitas for the Henon maps
  - 11:40 Trinitas for the Henon maps 50'
    
    Speaker: Y. Ishii (Kyushu University, Fukuoka, Japan)
- 12:30 - 15:00 POSTER SESSION
  - 12:30 POSTER SESSION 2h30'
- 15:00 - 15:50 Lyapunov exponents and bifurcations for endomorphisms of $P^k$
  - 15:00 Lyapunov exponents and bifurcations for endomorphisms of $P^k$ 50'
    
    Speaker: F. Berteloot (Université Paul Sabatier, Toulouse, France)
- 15:50 - 16:20 -
  - 15:50 - 30'
- 16:20 - 17:10 Quasianalytic spaces and small divisors
  - 16:20 Quasianalytic spaces and small divisors 50'
    
    Speaker: S. Marmi (Scuola Normale Superiore, Pisa)
Friday, 31 May 2013
- 09:00 - 09:50 Infinitesimal dynamics: holomorphic maps, connections and geodesics
  - 09:00 Infinitesimal dynamics: holomorphic maps, connections and geodesics 50'
    
    Speaker: M. Abate (Universita' di Pisa, Pisa, Italy)
- 09:50 - 10:20 Break
  - 09:50 Break 30'
- 10:20 - 11:10 On Poincare series of unicritical polynomials at the critical point
  - 10:20 On Poincare series of unicritical polynomials at the critical point 50'
    
    Speaker: W. Shen (National University of Singapore, Singapore)
- 11:10 - 11:40 Break
  - 11:10 Break 30'
- 11:40 - 12:30 Thurston's work on entropy in dimension one
  - 11:40 Thurston's work on entropy in dimension one 50'
    
    Speaker: J. Milnor (State Univ. of New York at Stony Brook, Stony Brook NY, USA)
- 12:30 - 12:30 END OF THE ACTIVITY
  - 12:30 END OF THE ACTIVITY