THEMATIC PROGRAMS

July 23, 2014

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

Organizers:
Nigel Higson (Penn State)
Masoud Khalkhali (Western Ontario)
Boris Tsygan (Northwestern)

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@fields.utoronto.ca

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