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Workshop

Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics February 02, 2015 - February 06, 2015
To apply for Funding you must register by: November 02, 2014 over 9 years ago
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Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Manfred Einsiedler (ETH Zürich), LEAD Jean-François Quint (CNRS - Université de Montpellier), Barbara Schapira (Université de Picardie (Jules Verne))
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Description
This Introductory Workshop will consist of several introductory lectures and series of lectures on the recent trends in the field, given by experts in the domain. In addition, there will be several shorter talks by young researchers. Please note that immediately preceding this workshop there is a Connections for Women workshop which will also be introductory in nature.
Keywords and Mathematics Subject Classification (MSC)
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Feb 02, 2015
Monday
09:00 AM - 09:15 AM
  Welcome
09:15 AM - 10:30 AM
  Homogeneous flows and the statistics of directions
Jens Marklof (University of Bristol)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Introduction to Ratner's Theorems on Unipotent Flows
Dave Morris (University of Lethbridge)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Masser’s conjecture on equivalence of integral quadratic forms
Han Li (Wesleyan University)
02:40 PM - 03:25 PM
  Homogeneous flows and the statistics of directions
Jens Marklof (University of Bristol)
03:25 PM - 03:55 PM
  Tea
03:55 PM - 04:55 PM
  Exponential decay of matrix coefficients.
Hee Oh (Yale University)
Feb 03, 2015
Tuesday
09:00 AM - 10:00 AM
  Homogeneous flows and the statistics of directions
Jens Marklof (University of Bristol)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Introduction to Ratner's Theorems on Unipotent Flows
Dave Morris (University of Lethbridge)
11:40 AM - 12:40 PM
  Quadratic Weyl Sums, Automorphic Functions, and Invariance Principles
Francesco Cellarosi (University of Illinois at Urbana-Champaign)
12:40 PM - 02:10 PM
  Lunch
02:10 PM - 03:10 PM
  Rigidity of higher rank diagonalisable actions
Manfred Einsiedler (ETH Zürich)
03:10 PM - 03:40 PM
  Tea
03:40 PM - 04:40 PM
  Exponential decay of matrix coefficients
Hee Oh (Yale University)
04:40 PM - 06:20 PM
  Reception
Feb 04, 2015
Wednesday
08:40 AM - 10:10 AM
  Semigroups in semisimple groups
Yves Benoist (Centre National de la Recherche Scientifique (CNRS))
10:10 AM - 10:40 AM
  Tea
10:40 AM - 11:40 AM
  Introduction to Ratner's Theorems on Unipotent Flows
Dave Morris (University of Lethbridge)
11:45 AM - 12:45 PM
  Unipotent flows on infinite volume manifolds
Amir Mohammadi (University of California, San Diego)
Feb 05, 2015
Thursday
08:40 AM - 10:10 AM
  Semigroups in semisimple groups
Yves Benoist (Centre National de la Recherche Scientifique (CNRS))
10:10 AM - 10:40 AM
  Tea
10:40 AM - 11:40 AM
  Unipotent flows on infinite volume manifolds
Amir Mohammadi (University of California, San Diego)
11:45 AM - 12:45 PM
  Unipotent flows and L-functions
Akshay Venkatesh (Institute for Advanced Study)
12:45 PM - 02:15 PM
  Lunch
02:15 PM - 03:15 PM
  Geometric and arithmetic aspects of bounded orbits on homogeneous spaces
Dmitry Kleinbock (Brandeis University)
03:15 PM - 03:45 PM
  Tea
03:45 PM - 04:45 PM
  Unipotent flows and quadratic forms (after Linnik)
Akshay Venkatesh (Institute for Advanced Study)
Feb 06, 2015
Friday
08:40 AM - 09:40 AM
  Grids with dense values
Uri Shapira (Technion---Israel Institute of Technology)
09:40 AM - 10:10 AM
  Tea
10:10 AM - 11:10 AM
  Thin groups: arithmetic and geometric viewpoints
Elena Fuchs (University of California, Davis)
11:20 AM - 12:20 PM
  Martin boundary and local limit theorem of Brownian motion on negatively-curved manifolds
Seonhee Lim (Seoul National University)
12:20 PM - 01:50 PM
  Lunch
01:50 PM - 02:50 PM
  Diophantine approximation on group varieties
Anish Ghosh (Tata Institute of Fundamental Research)