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Schedule

Hot Topics: Thin Groups and Super-strong Approximation February 06, 2012 - February 10, 2012

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Feb 06, 2012
Monday
09:00 AM - 09:45 AM
  Welcome and Registration
09:45 AM - 10:00 AM
  Introduction by the MSRI director and staff
10:00 AM - 11:00 AM
  Mini-course 1: Expander Graphs, Thin Groups, and Super-strong Approximation
Alexander Gamburd (University of California, Santa Cruz)
11:00 AM - 11:30 AM
  Tea
11:30 AM - 12:30 PM
  On Zaremba\'s conjecture
Jean Bourgain (Institute for Advanced Study)
12:30 PM - 02:10 PM
  Lunch
02:10 PM - 03:10 PM
  Mini-course 2: Effective circle count for Apollonian circle packings, via spectral methods
Hee Oh (Yale University)
03:10 PM - 03:40 PM
  Tea
03:40 PM - 04:40 PM
  On the Strong Density Conjecture for Apollonian Circle Packings
Alex Kontorovich
Feb 07, 2012
Tuesday
09:00 AM - 10:00 AM
  Mini-course 1: Expander Graphs, Thin Groups, and Super-strong Approximation
Alexander Gamburd (University of California, Santa Cruz)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  On the strong approximation in algebraic groups
Andrei Rapinchuk
11:35 AM - 12:35 PM
  Mini-course 3: Sieve in discrete groups, Part I
Emmanuel Kowalski (Eidgenössische TH Zürich-Hönggerberg)
12:35 PM - 02:10 PM
  Lunch
02:10 PM - 03:10 PM
  Mini-course 2: Counting for orbits of thin groups, via ergodic methods
Hee Oh (Yale University)
03:10 PM - 03:40 PM
  Tea
03:40 PM - 04:40 PM
  Mini-course 4: Approximate groups, Part I
Emmanuel Breuillard (Université Paris-Sud (Orsay))
04:40 PM - 06:15 PM
  Reception
Feb 08, 2012
Wednesday
09:00 AM - 10:00 AM
  Mini-course 5: Thin groups as monodromy groups, Part I
Jordan Ellenberg (University of Wisconsin)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Affine sieve and expanders
Alireza Salehi Golsefidy (University of California, San Diego)
11:35 AM - 12:35 PM
  Dynamics of units and packing constants of ideals
Curtis McMullen (Harvard University)
Feb 09, 2012
Thursday
09:00 AM - 10:00 AM
  Mini-course 3: Sieve in discrete groups, Part II
Emmanuel Kowalski (Eidgenössische TH Zürich-Hönggerberg)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  3-Manifold groups, surface groups and thin subgroups of SL(3,Z)
Alan Reid (University of Texas)
11:35 AM - 12:35 PM
  Mini-course 5: Thin groups as monodromy groups, Part II
Jordan Ellenberg (University of Wisconsin)
12:35 PM - 02:10 PM
  Lunch
02:10 PM - 03:10 PM
  Growth in linear groups
Laci Pyber
03:10 PM - 03:40 PM
  Tea
03:40 PM - 04:40 PM
  Informal and Optional Problem Session
Feb 10, 2012
Friday
09:00 AM - 10:00 AM
  How generic are thin groups?
Elena Fuchs (University of Illinois at Urbana-Champaign)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Mini-course 4: Approximate groups, Part II
Emmanuel Breuillard (Université Paris-Sud (Orsay))
11:35 AM - 12:35 PM
  Weakly-commensurable Zariski-dense subgroups and isospectral arithmetic compact locally symmetric spaces
Gopal Prasad
12:35 PM - 02:10 PM
  Lunch
02:10 PM - 03:10 PM
  Asymptotic properties of obscure groups
Igor Rivin
03:10 PM - 03:40 PM
  Tea