Trends in noncommutative geometry

Workshop theme

The workshop will aim to expose some of the most exciting new developments relating noncommutative geometry to other topics in pure and applied mathematics. Topics are expected to include dynamical systems, the theory of foliations, fractal and infinite-dimensional geometry, number theory, algebraic geometry, among others. The aim is to highlight the potentially interdisciplinary implications of noncommutative geometry and also to identify some of the most exciting trends for the future. Coming at the end of the programme, the workshop invites suggestions from any of the long term participants.

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Timetable

Monday 18th December 2006
08:30 to 09:00	Registration	No Room Required
09:00 to 10:00	Alain Connes IHES QG and RH, an analogy	Room 1
10:00 to 11:00	Antony Wassermann Operator algebras and elliptic cohomology	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Roger Plymen University of Manchester Affine Hecke algebras, Langlands duality and geometric structure	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Boris Zilber University of Oxford Zariski geometries: from classical to quantum	Room 1
15:00 to 15:30	Tea and Poster Session	No Room Required
15:30 to 16:00	Jorge Plazas Homogeneous coordinate rings for noncommutative tori and modular functions	Room 1
16:00 to 17:30	Nonlinear transformations in Lagrangians and a graphical calculus	Room 1
17:30 to 18:30	Welcome Wine Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 19th December 2006
09:00 to 10:00	Katia Consani Motives and noncommutative geometry	Room 1
10:00 to 11:00	Iwasawa algebras	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Erik Christensen Københavns Universitet (University of Copenhagen) A study of fractals based on non commutative methods	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Nadia Larsen University of Oslo Hecke algebras and the finite part of the Connes-Marcolli C*-algebra	Room 1
15:00 to 15:30	Tea and Poster Session	No Room Required
15:30 to 16:30	Sergey Neshveyev University of Oslo Phase transition in the Connes-Marcolli GL2-system	Room 1
16:30 to 17:00	Johannes Kellendonk Université Claude Bernard Lyon 1 Topological boundary maps in physics, general theory and applications	Room 1
17:00 to 18:00	Poster Session	Discussion Room
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 20th December 2006
09:00 to 10:00	John Hunton University of Leicester Aperiodically ordered patterns	Room 1
10:00 to 11:00	Nicolas Monod An invitation to bounded cohomology	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Christian Voigt Westfalische Wilhelms-Universitat Munster The Baum-Connes conjecture for the dual of SU$_q$(2)	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Daniel Rogalski Noncommutative projective surfaces	Room 1
15:00 to 15:30	Tea and Poster Session	No Room Required
15:30 to 16:00	Piotr Soltan On quantum groups from multiplicative unitaries	Room 1
16:00 to 16:30	Pawel Kasprzak Quantum Lorentz groups obtained by Rieffel deformation	Room 1
16:30 to 17:00	Lois Hirsch Kauffman Non-Commutative worlds	Room 1
17:00 to 18:00	Poster Session	No Room Required
19:30 to 18:00	Conference Dinner at Clare College (Great Hall) Bar open from 21:00 - 23:30pm	No Room Required

Thursday 21st December 2006
09:00 to 10:00	Max Karoubi Twisted K-theory old and new	Room 1
10:00 to 11:00	Iain Gordon University of Edinburgh Hecke algebras and quiver varieties	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Vladimir Retakh Noncommutative loops over Lie algebras and Lie groups	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:30	Ruibin Zhang University of Sydney Noncommutative vector bundles on quantum homogeneous spaces and representations of quantum groups	Room 1
14:30 to 15:00	Chiara Pagani Københavns Universitet (University of Copenhagen) A noncommutative family of instantons	Room 1
15:00 to 15:30	Tea and Poster Session	No Room Required
15:30 to 16:15	Raf Bocklandt Universiteit Antwerpen Graded 3-dimensional Calabi Yau algebras	Room 1
16:15 to 17:00	Roland Berger Poincare-Birkhoff-Witt deformations of Calabi-Yau algebras	Room 1
17:00 to 18:00	Poster Session	Discussion Room
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Friday 22nd December 2006
09:00 to 10:00	Stanislaw Lech Woronowicz Unbounded elements in C-star algebras	Room 1
10:00 to 11:00	Noncommutative and nonassociative T-duality for principal bundles	Room 1
11:00 to 11:30	Coffee and Poster Session	No Room Required
11:30 to 12:30	J Toby Stafford University of Michigan Sklyanin algebras and Hilbert schemes of points	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 18:00	Free Afternoon / Short Presentations	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Speakers

Roland Berger
Raf Bocklandt Universiteit Antwerpen
Erik Christensen Københavns Universitet (University of Copenhagen)
Alain Connes IHES
Katia Consani
Iain Gordon University of Edinburgh
John Hunton University of Leicester
Max Karoubi
Pawel Kasprzak
Lois Hirsch Kauffman
Johannes Kellendonk Université Claude Bernard Lyon 1
Nadia Larsen University of Oslo
Nicolas Monod
Sergey Neshveyev University of Oslo
Chiara Pagani Københavns Universitet (University of Copenhagen)
Jorge Plazas
Roger Plymen University of Manchester
Vladimir Retakh
Daniel Rogalski
Piotr Soltan
J Toby Stafford University of Michigan
Christian Voigt Westfalische Wilhelms-Universitat Munster
Antony Wassermann
Stanislaw Lech Woronowicz
Ruibin Zhang University of Sydney
Boris Zilber University of Oxford

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Workshop theme

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Timetable

Speakers

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