Zariski-dense Subgroups - IPAM

Zariski-dense Subgroups

February 9 - 13, 2015

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 9, 2015

Morning Session

08:00-08:50
Check-In/Light Breakfast (Hosted by IPAM)
08:50-09:00
Welcome and Opening Remarks
09:00-09:50
Emmanuel Breuillard (Université d'Orsay)
Super-strong approximation I
10:00-10:50
Ted Chinburg (University of Pennsylvania)
Azumaya algebras associated to knot groups
11:00-11:30
Break
11:30-12:20
Hee Oh (Yale University)
Generalization of Selberg's 3/16 theorem for thin groups and semi-groups

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Peter Sarnak (Institute for Advanced Study)
The Solovay-Kitaev Theorem revisited
15:00-15:50
Anna Wienhard (University of Heidelberg)
Anosov representations
16:00-16:30
Break
16:30-17:20
Alexander Lubotzky (Hebrew University)
Arithmetic quotients of the mapping class group
17:30-19:00
Poster Session & Reception (Hosted by IPAM)

Tuesday, February 10, 2015

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Emmanuel Breuillard (Université d'Orsay)
Super-strong approximation II
10:00-10:50
Yehuda Shalom (Tel Aviv University)
Some problems conjectures and results on commensurators and commensurated subgroups of arithmetic groups
11:00-11:30
Break
11:30-12:20
Madhav Nori (University of Chicago)
Closed subgroups of $GL_n(\widehat{\mathbb{Z}})$

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Sug Woo Shin (University of California, Berkeley (UC Berkeley))
Transfer of automorphic representations between inner forms I
15:00-15:50
Tyakal Venkataramana (Tata Institute of Fundamental Research)
Monodromy and Arithmetic/Thin Groups
16:00-16:30
Break
16:30-17:20
Martin Kassabov (Cornell University)
Groups Graded by Roots Sytems and Property T

Wednesday, February 11, 2015

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Ben McReynolds (Purdue University)
Spectra in Geometry and Effective Rigidity Results I
10:00-10:50
Chen Meiri (Technion - Israel Institute of Technology)
Infinite index maximal subgroups of SL(n, Z)
11:00-11:30
Break
11:30-12:20
Alex Kontorovich (Rutgers University)
Applications of Thin Orbits

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Sug Woo Shin (University of California, Berkeley (UC Berkeley))
Transfer of automorphic representations between inner forms II
15:00-15:50
Igor Rapinchuk (Harvard University)
The genus of a division algebra
16:00-16:30
Break
16:30-17:20
Vladimir Chernousov (University of Alberta)
Simple algebraic groups and their maximal tori

Thursday, February 12, 2015

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Ben McReynolds (Purdue University)
Spectra in Geometry and Effective Rigidity Results II
10:00-10:50
Ralf Spatzier (University of Michigan)
Smooth Factors of Projective Actions of Higher Rank Lattices and Rigidity
11:00-11:30
Break
11:30-12:20
Elena Fuchs (University of Illinois at Urbana-Champaign)
Deterministic and probabilistic aspects of thin groups

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Robert Guralnick (University of Southern California (USC))
Strongly Dense Subgroups of Semisimple Algebraic Groups
15:00-15:50
Igor Rivin (Temple University)
How dense is dense, or: computing in linear groups
16:00-16:30
Break
16:30-17:20
Philippe Gille (University of Lyon, France, and IMAR, Bucharest, Romania)
Topological properties of torsors and homogeneous spaces over valued fields

Friday, February 13, 2015

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Matthew Stover (Temple University)
The geometry of Cartwright and Steger's surface
10:00-10:50
Bertrand REMY (École Polytechnique)
On some pro-p groups arising from Lie theory
11:00-11:30
Break
11:30-12:20
Alireza Golsefidy (University of California, San Diego (UCSD))
Expansion properties of linear groups and affine sieve

Afternoon Session

12:30-13:20
Dave Witte Morris (University of Lethbridge)
Arithmetic subgroups whose representations all map into GL_n(Z)
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