Workshop on Noncommutative Manifolds 
International School for Advanced Studies (SISSA), Trieste, Italy
October 18-22, 2004
Supported in part by
the Italian Research Project
"Singularities, Integrability, Symmetries"
and
Friuli-Venezia Giulia Research Project
"Geometry of moduli spaces and applications to mathematical physics"
The International School for Advanced
Studies (SISSA) in collaboration with the Dipartimento di Matematica e Informatica,
Universita` di Trieste and the Abdus Salam International Centre for Theoretical Physics, Trieste,
organizes a workshop on Noncommutative Manifolds. The workshop
will be devoted to some recent developments in Noncommutative Differential Geometry with emphasis on the definition and examples
of noncommutative manifolds,
the construction of spectral triples and in particular of the Dirac operators,
relations to quantum groups and applications in mathematical physics.
Advisory Committee: A. Connes (IHES Paris),
B. Dubrovin (SISSA Trieste), Yu. I. Manin (MPI Bonn), N. Teleman (Ancona),
S. L. Woronowicz (Warsaw).
Scientific and Organizing Committee: Ludwik Dabrowski (SISSA Trieste), Giovanni Landi (University of Trieste), Le Dung Trang (ICTP Trieste).
The International School for Advanced Studies, together with the
adjacent International Centre for Theoretical Physics, is located
within the Miramare Castle Natural Park, in a pinewood on the seaside
at about 6 km west from downtown Trieste.
Accommodation:
Participants will be accommodated in one of the guest houses of the
International Centre for Theoretical Physics or in hotels in downtown
Trieste.
Travel
information: For information about travel please link to the SISSA or ICTP web pages.
Current weather
Programme
Venue: Main Lecture Hall, ICTP Main Building, Strada Costiera 11
Monday, October 18
9:10-10:10 S. L. WORONOWICZ: Problems with unbounded operators related to some quantum groups
10:10-10:40 Coffee break
10:40-11:40 H. MOSCOVICI: Hopf actions, modular symbols and Eisenstein cocycles
11:50-12:30 M. GRANDIS: Directed algebraic topology and noncommutative tori
12:30-14:00 Lunch
14:00-15:00 M. DUBOIS-VIOLETTE: Graded algebras and multilinear forms
15:10-15:50 R. LONGO: Noncommutative Spectral Invariants and Black Hole
Entropy
15:50-16:10 Break
16:10-16:50 F. CIPRIANI: Fredholm module associated to a Dirichlet form
17:00-17:40 D. GUREVICH: Quantum bundles via Cayley-Hamilton identities
Tuesday, October 19
9:10-10:10 A. CONNES: Renormalization and motivic Galois theory
10:10-10:40 Coffee break
10:40-11:40 M.MARCOLLI: Noncommutative geometry and arithmetics
11:50-12:30 H. GROSSE: Renormalization of noncommutative scalar quantum field
theories
12:30-14:00 Lunch
14:00-14:40 N. TELEMAN: Distance functions, linear quasi-connection and Chern character
14:50-15:30 M. TARLINI: Quantum spheres from unitary quantum groups and
Poisson geometry
15:30-15.50 Break
15:50-16:30 T. HADFIELD: Twisted homology of quantum
groups
16:40-17:20 W. van SUIJLEKOM: Dirac operator on SU_q(2)
17:20 Discussion
Wednesday, October 20
9:10-10:10 A. CONNES: Noncommutative Geometry and Physics
10:10-10:40 Coffee break
10:40-11:40 M. MARCOLLI: Noncommutative geometry and arithmetics
11:50-12:30 S. DOPLICHER: Quantum spacetime and quantum field theory
12:30-14:00 Lunch
14:00-14:40 V. GAYRAL: Non-compact isospectral deformations and field theories
14:50-15:20 C. PAGANI: A Hopf bundle over a quantum four-sphere from the symplectic group
15:20-15:40 Break
15:40-16:20 T. KRAJEWSKI: Noncommutative phase factors
16:30-17:10 P. M. HAJAC: The K-theory of Heegaard-type quantum 3-spheres
17:20-18:00 E. BEGGS: The necessity of nonassociativity in quantised differential
geometry
Thursday, October 21
9:10-10:10 A. SITARZ: Spectral geometry and quantum deformations
10:10-10:40 Coffee break
10:40-11:40 J. MICKELSSON: Moyal product and gauge group extension
11:50-12:30 A. ZAMPINI: The beat of a fuzzy drum
12:30-14:00 Lunch
14:00-15:00 P. BIELAVSKY: Noncommutative Symmetric Spaces and Universal
Deformation Formulae for Lie Group Actions
15:10-15:50 T. BRZEZINSKI: Uses for corings
15:50-16:10 Break
16:10-16:50 R. COQUEREAUX: Comments on Ocneanu finite quantum groupoids and
Coxeter Dynkin systems
17:00-17:30 J. WAWRZYCKI: Noncommutative Spacetime and Quantum Mechanics
17:40-18:10 P. MARTINETTI:On the time interpretation of von Neumann automorphisms
Friday, October 22
9:00-10:00 J. GRACIA-BONDIA: Remarks on the structure of renormalization Hopf
algebras
10:00-10:30 Coffee break
10:30-11:10 T. R. GOVINDARAJAN: Spacetime noncommutativity and quantum theory
11:15-11:55 P. ASCHIERI: Noncommutative bundles and bundles gerbes via deformation quantization
12:00-12:30 T. MASZCZYK: Noncommutative arithmetic geometry
12:30-14:00 Lunch
14:00-15:00 T. SCHUCKER: Noncommutative geometry and the standard model
15.05-16:05 L. TUSET: A local index formula for the quantum sphere