Workshop II: Dynamics of Groups and Rational Maps

Part of the Long Program Interactions Between Analysis and Geometry
April 8 - 12, 2013

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, April 8, 2013

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
William Hooper (City College of New York)

Resewing Pillow Cases
PDF Presentation

 
11:15 - 11:30 Break
11:30 - 12:20
Carlos Santos (Centre National de la Recherche Scientifique (CNRS))

Saddle-Connections in Translation Surfaces and Eskin-Kontsevich-Zorich Regularity Conjecture

 
12:30 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
John Smillie (Cornell University)

Ratner Theory and Strata?

 
3:30 - 4:00 Break
4:00 - 4:50
Alex Eskin (University of Chicago)

Entropy and the SL(2,R) Action on Moduli Space

5:00 - 6:30 Reception (Location: IPAM Lobby)

Tuesday, April 9, 2013

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Alex Kontorovich (Yale University)

Diophantine Problems in Thin Orbits
PDF Presentation
10:00 - 10:15 Break
10:15 - 11:05
Kevin Pilgrim (Indiana University)

Dynamics of Pillowcase Foldings: A Survey

 
11:15 - 11:30 Break
11:30 - 12:20
Federico Rodriguez Hertz (Pennsylvania State University)

Global Rigidity of Higher Rank Abelian Anosov Algebraic Actions

12:30 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
Alexander Bufetov (Independent University of Moscow)

Infinite Determinantal Measures

 
3:30 - 4:00 Break
4:00 - 4:50
Sergiy Merenkov (University of Illinois at Urbana-Champaign)

Quasisymmetries of Sierpinski Carpet Julia Sets
PDF Presentation

 

Wednesday, April 10, 2013

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Volodymyr Nekrashevych (Texas A&M University - College Station)

Group Actions and Symbolic Dynamics of Julia Sets

 
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
Jeremy Kahn (The Graduate Center, CUNY)

Geometric Limits and Renormalization

 

Thursday, April 11, 2013

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Bill Goldman (University of Maryland)

Geometry and Dynamics of Flat Lorentzian 3-Manifolds

 
10:00 - 10:15 Break
10:15 - 11:05
Anna Wienhard (Princeton University)

Aspects of Anosov Representations

 
11:15 - 11:30 Break

Junior Participant Presentations
11:30 - 11:50
Anton Lukyanenko (University of Illinois at Urbana-Champaign)

Continued Fractions on the Heisenberg Group
PDF Presentation
12:00 - 12:20
12:30 - 2:30 Lunch (on your own)

Afternoon Session
2:30 - 3:20
Dragomir Saric (Queens College, CUNY)

Deformations of Hyperbolic Structures Using Shears
PDF Presentation

 
3:30 - 4:00 Break
4:00 - 4:50

Friday, April 12, 2013

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 9:50
Lewis Bowen (University of Texas at Austin)

Cheeger Constants and L^2 Betti Numbers
PDF Presentation

 
10:00 - 10:15 Break
10:15 - 11:05
Boris Kalinin (Pennsylvania State University)

Linear and Isometry Cocycles over Hyperbolic Systems
PDF Presentation
11:15 - 11:30 Break
11:30 - 12:20
Chris Bishop (SUNY Stony Brook)

Quasiconformal Folding
PDF Presentation

 
12:30 - 2:30 Lunch (on your own)

Afternoon Session

Junior Participant Presentations & Problem Sessions (TBA)
2:30 - 5:00

To Be Announced