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Schedule, Notes/Handouts & Videos

Geometry and Dynamics in Higher Rank Lie Groups (UC Berkeley) July 14, 2025 - July 25, 2025

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Jul 14, 2025
Monday
08:40 AM - 09:00 AM
  Welcome
09:00 AM - 10:15 AM
  Real hyperbolic spaces and their isometry groups
Pierre-Louis Blayac (Université de Strasbourg)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Real hyperbolic spaces and their isometry groups
Pierre-Louis Blayac (Université de Strasbourg)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 15, 2025
Tuesday
09:00 AM - 10:15 AM
  Gromov hyperbolicity and convergence group actions
Pierre-Louis Blayac (Université de Strasbourg)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Gromov hyperbolicity and convergence group actions
Pierre-Louis Blayac (Université de Strasbourg)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 16, 2025
Wednesday
09:00 AM - 10:15 AM
  Flag manifolds of SL(d,R) and transverse, Anosov, and relative Anosov groups
Pierre-Louis Blayac (Université de Strasbourg)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Flag manifolds of SL(d,R) and transverse, Anosov, and relative Anosov groups
Pierre-Louis Blayac (Université de Strasbourg)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 17, 2025
Thursday
09:00 AM - 10:15 AM
  Symmetric space, Busemann functions, Gromov product, flows
Pierre-Louis Blayac (Université de Strasbourg)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Symmetric space, Busemann functions, Gromov product, flows
Pierre-Louis Blayac (Université de Strasbourg)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 18, 2025
Friday
09:00 AM - 10:15 AM
  Structure of limit sets
Andrew Zimmer (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Patterson-Sullivan measures in rank one
Andrew Zimmer (University of Wisconsin-Madison)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 21, 2025
Monday
09:00 AM - 10:15 AM
  Patterson-Sullivan measures in higher rank
Andrew Zimmer (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Affinity exponents and Hausdorff dimension of limit sets
Wenyu Pan (University of Toronto; University of Toronto)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 22, 2025
Tuesday
09:00 AM - 10:15 AM
  Patterson-Sullivan measures in higher rank
Andrew Zimmer (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Affinity exponents and Hausdorff dimension of limit sets
Wenyu Pan (University of Toronto; University of Toronto)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 23, 2025
Wednesday
09:00 AM - 10:15 AM
  Patterson-Sullivan measures in higher rank
Andrew Zimmer (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Stationary measures and Lyapunov dimension
Wenyu Pan (University of Toronto; University of Toronto)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:00 PM - 05:00 PM
  Visit to SLMath with Afternoon Tea and Group Photo
Jul 24, 2025
Thursday
09:00 AM - 10:15 AM
  Entropy rigidity for Hitchin representations
Andrew Zimmer (University of Wisconsin-Madison)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Stationary measures and Lyapunov dimension
Wenyu Pan (University of Toronto; University of Toronto)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:30 PM
  Problem Session
Aleksander Skenderi (University of Wisconsin-Madison)
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Problem Session
Suxuan Chen (Ohio State University)
Jul 25, 2025
Friday
09:00 AM - 10:15 AM
  Entropy growth argument for Bernoulli convolution
Wenyu Pan (University of Toronto; University of Toronto)
10:15 AM - 10:45 AM
  Morning Break
10:45 AM - 12:00 PM
  Entropy growth argument for Bernoulli convolution
Wenyu Pan (University of Toronto; University of Toronto)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:00 PM
  Participant Survey
02:00 PM - 03:30 PM
  Problem Session
Suxuan Chen (Ohio State University)
03:30 PM - 04:00 PM
  Afternoon Tea
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