Noncommutative geometry and cyclic cohomology

Workshop theme

This first workshop will focus on the mathematics of noncommutative differential geometry, centered on cyclic cohomology. Current trends to be covered include: (a) Strong progress in noncommutative Chern-Weil theory and the cyclic cohomology of Hopf algebras, sparked by work on the transverse index theory of foliations. (b) The growing deep connection between noncommutative geometry and number theory, in particular the relation between the theory of motives in the sense of Grothendieck and noncommutative geometry. (c) Related developments in algebraic K-theory, triangulated categories, quantum group methods.

Applications for this workshop are now closed

Timetable

Monday 31st July 2006
08:30 to 10:00	Registration	No Room Required
10:00 to 11:00	Roger Plymen University of Manchester A noncommutative geometry approach to the representation theory of p-adic groups	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Mariusz Wodzicki University of California What do we know, and what we do not, about exotic traces	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Masoud Khalkhali Bivariant Hopf cyclic cohomology I	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Markus Pflaum Relative pairing in cycle cohomology and divisor flows	Room 1
17:30 to 18:30	Wine Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 1st August 2006
09:00 to 10:00	Alain Connes IHES Dimensional regularization, chiral anomalies, and the local index formula in noncommutative geometry	Room 1
10:00 to 11:00	Henri Moscovici Noncommutative geometry on Q-spaces of Q-lattices	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Paul Frank Baum Noncommutative algebraic geometry and the representation theory of p-adic groups	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Edwin Beggs University of Wales, Swansea A noncommutative sheaf theory	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Bivariant cyclic (co)homology and paitings in Hopf-type cyclic (co)homology with coefficients	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 2nd August 2006
09:00 to 10:00	Max Karoubi A new homology theory on rings: the stabilized Witt groups	Room 1
10:00 to 11:00	On the Hochschild homology of quantum groups	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Geometrization of the Novikov conjecture for residually finite groups	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Arup Kumar Pal Indian Statistical Institute, Bangalore Equivariant spectral triples for odd dimensional quantum spheres	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Raphael Ponge University of Toronto Noncommutative residue and applications in Riemannian and CR geometry	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	Room 1

Thursday 3rd August 2006
09:00 to 10:00	Ryszard Nest Københavns Universitet (University of Copenhagen) Baum-Connnes isomorphism for certain quantum groups	Room 1
10:00 to 11:00	Real Riemann-Roch theorem	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Alexander Gorokhovsky Formal deformations of gerbes and etale groupoids	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Jacek Brodzki University of Southampton Property A, exactness of uniform Roe algebra, and uniform embeddings in groups	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Atabey Kaygun Hopf equivariant cyclic (co)homology and Morita invariance	Room 1
19:30 to 18:00	Conference Dinner in the Dining Hall at Trinity Hall	No Room Required

Friday 4th August 2006
09:00 to 10:00	Bahram Rangipour Periodic Hopf cyclic cohomology of bicrossed product Hopf algebras	Room 1
10:00 to 11:00	Tom Hadfield Queen Mary University of London Braided homology of quantum groups	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Tomasz Brzezinski University of Wales, Swansea Flat connections and comodules	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Stanislaw Lech Woronowicz $GL_q (2, I\!\!R)$ and $SL_q(2,I\!\!R)$ as locally compact quantum groups	Room 1
15:00 to 15:30	Tea	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	Room 1

Noncommutative geometry and cyclic cohomology

Speakers

Paul Frank Baum
Edwin Beggs University of Wales, Swansea
Jacek Brodzki University of Southampton
Tomasz Brzezinski University of Wales, Swansea
Alain Connes IHES
Alexander Gorokhovsky
Tom Hadfield Queen Mary University of London
Max Karoubi
Atabey Kaygun
Masoud Khalkhali
Henri Moscovici
Ryszard Nest Københavns Universitet (University of Copenhagen)
Arup Kumar Pal Indian Statistical Institute, Bangalore
Markus Pflaum
Roger Plymen University of Manchester
Raphael Ponge University of Toronto
Bahram Rangipour
Mariusz Wodzicki University of California
Stanislaw Lech Woronowicz

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Noncommutative geometry and cyclic cohomology

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

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