Lie Groups November Workshop: Agenda

November 14-18, 2005

Organizers:

Avi Wigderson, Institute for Advanced Study
Alexander Lubotzky, Institute for Advanced Study
David Ellwood, Clay Mathematics Institute

This workshop is being held in partnership with the Clay Mathematics Institute.

The Conference will be held in Simonyi Hall.

There will be several lecture series with some inter-relations between them.

Messages for workshop guests may be left by calling (609) 734-8100 and will be placed on the bulletin board in the lobby of Simonyi Hall.

Monday, November 14, 2005

9:30 am - 10:20 Avi Wigderson (IAS), A₁, Expanders; applications and questions
11:00 am - 11:50 Alex Lubotzky (IAS), A₂, (Ï„) and applications
12:30 pm - 2:00 Lunch, Dining Hall
02:10 pm - 03:00 Yehuda Shalom (IAS), C₁, Bounded generation and Property T
03:00 pm - 04:00 Tea - Fuld Hall Common Room
04:00 pm - 04:50 Peter Sarnak (IAS), D₁, On Ramanujan conjecture I

Tuesday, November 15, 2005

09:30 am - 10:20 Alex Lubotzky (IAS), B₁, Property (Ï„) and geometry
10:30 am - 11:20 Avi Wigderson (IAS), F₁, Sum-products results and their applications
11:30 am - 12:20 Marc Lackenby (Oxford), B₂, Property (Ï„) and geometry
12:30 pm - 02:00 Lunch - Dining Hall
02:10 pm - 03:00 Efim Zelmanov (UCSD), A₃, Dimension expanders and algebras with (Ï„)
03:00 pm - 04:00 Tea - Fuld Hall Common Room
04:00 pm - 04:50 Peter Sarnak (IAS), D2, On Ramanujan conjecture II

Wednesday, November 16, 2005

09:30 am - 10:20 Harald Helfgott (U Montreal), F2, Sum-products results and their applications
10:30 am - 11:20 Marc Lackenby (Oxford) B3, Property (Ï„) and geometry
11:30 am - 12:20 Nikolay Nikolov (Oxford), C2, Steinberg symbols, bounded elementary generation for SL_n over finite rings and applications
12:30 pm - 02:00 Lunch - Dining Hall
02:00 pm - 03:00 Uzi Vishne (IAS), D3, Ramanujan graphs
03:10 pm - 04:00 Alex Gamburd (IAS), F3, Sum-products results and their applications
06:00 pm - Buffet Dinner, Dilworth Room, IAS Dining Hall, reservations and payment required by October 31, 2005.

Thursday, November 17, 2005

09:30 am - 10:20 Avi Wigderson (IAS), F4, Sum-products results and their applications
10:30 am - 11:20 Roy Meshulam (IAS), E1, Simplical complexes and their higher dimensional Laplacians
11:30 am - 12:20 Martin Kassabov (Cornell), C3, The symmetric groups as expanders
12:30 pm - 02:00 Lunch - Dining Hall
02:10 pm - 03:00 Uzi Vishne (IAS), D4, Ramanujan complexes
03:00 pm - 04:00 Tea - Fuld Hall Common Room
04:00 pm - 04:50 Roy Meshulam (IAS), E2, Simplical complexes and their higher dimensional Laplacians

Friday, November 18, 2005

09:30 am - 10:20 Marc Lackenby (Oxford), B4, Property (Ï„) and geometry
10:30 am - 11:20 Uzi Vishne (IAS), D5, Explicit constructions
11:30 am - 12:20 Alex Lubotzky (IAS), C4, Ramanujan constructions and expanders
12:30 pm - 02:00 Lunch - Dining Hall
02:10 pm - 03:00 Jean Bourgain (IAS), F5, Sum-products results and their applications
03:00 pm - 04:00 Tea - Fuld Hall Common Room

There will be several lecture series with some inter-relations between them.

A: Expanders and (Ï„): generalities
A1 - Avi Wigderson (IAS), Expanders; applications and questions
A2 - Alex Lubotzky (IAS), (Ï„) and applications
A3 - Efim Zelmanov (UCSD), Dimension expanders and algebras with (Ï„)
B: Property (Ï„) and geometry
B1 - Alex Lubotzky (IAS)
B2 - Marc Lackenby (Oxford)
B3 - Marc Lackenby (Oxford)
B4 - Marc Lackenby (Oxford)
C: Finite simple groups as expanders
C1 - Yehuda Shalom (IAS), Bounded generation and Property T.
C2 - Nikolay Nikolov (Oxford), Steinberg symbols, bounded elementary generation for SL_n over finite rings and applications.
C3 - Martin Kassabov (Cornell), The symmetric groups as expanders
C4 - Alex Lubotzky (IAS), Ramanujan graphs/complexes and expanders
D: Ramanujan conjectures; Ramanujan graphs/complexes
D1 - Peter Sarnak (IAS), On Ramanujan conjecture I
D2 - Peter Sarnak (IAS), On Ramanujan conjecture II
D3 - Uzi Vishne (IAS), Ramanujan graphs
D4 - Uzi Vishne (IAS), Ramanujan complexes
D5 - Uzi Vishne (IAS), Explicit constructions
E: Simplical complexes and their higher dimensional Laplacians
E1 - Roy Meshulam (IAS)
E2 - Roy Meshulam (IAS)
F: Sum-products results and their applications
F1 - Avi Wigderson (IAS)
F2 - Harald Helfgott (U Montreal)
F3 - Alex Gamburd (IAS)
F4 - Avi Wigderson (IAS)
F5 - Jean Bourgain (IAS)

Schedule

All talks will take place in Simonyi Hall, Seminar Room. Lunch is served in the IAS dining hall. Tea/Coffee and cookies are served in Fuld Hall common room