This mini-conference will aim to reconcile two quite different approaches to index theory in noncommutative geometry: the Connes-Moscovici local index formula, and the Nest-Tamarkin- Tsygan approach via deformation quantization. Emerging connections with Hopf algebras and Hopf-cyclic cohomology will be addressed as well.

Schedule: Abstracts

Friday

9-10

10:15-11:15

11:30-12:30

N. Higson
Introduction to the Connes-Moscovici formula
A. Sitarz
Local index formula: going beyond spectral triples
J. Phillips
From Spectal Flow to the Odd Local Index Formula

Lunch

2-3

3:15-4:15

4:30-5:30

5:30-6:30

B. Tsygan
BV operators in noncommutative geometry.
E. Meinrenken
Chern-Weil homomorphism for non-commutative differential algebras
R. Ponge
Noncommutative geometry, Heisenberg caclulus and CR geometry
Masoud Khalkhali
Renormalization and Motivic Galois Theory (after Connes and Marcolli)

Saturday

9-10

10:15-11:15

11:30-12:30

J. Kaminker
TBA
B. Rangipour
Cup product in Hopf cyclic cohomology and Connes Moscovici characteristic map.
A. Gorokhovsky
Bivariant Chern Character and Connes' Index Theorem.

Lunch

2-3

3-4
X. Hu
Local index theorem for transversally elliptic operators
Erik Van Erp (Ohio State)
TBA

For more information contact gensci(PUT_AT_SIGN_HERE)fields.utoronto.ca

THEMATIC PROGRAMS

Mini-conference on Noncommutative Geometry, the Local Index Formula and Hopf Algebras

Friday and Saturday, Sept. 24, 25, 2004, held at Fields Institute in Toronto

Friday and Saturday, Sept. 24, 25, 2004,
held at Fields Institute in Toronto