SCIENTIFIC PROGRAMS AND ACTIVITIES

July 31, 2014

Bimonthly Canadian Noncommutative Geometry Workshop
at the Fields Institute 2007-08

This bimonthly workshop aims to cover new developments in Noncommutative Geometry, and each workshop features a keynote address by one of the top people in the field. This workshop is associated with the Center for Noncommutative Geometry and Topology, University of New Brunswick and the Department of Mathematics at the University of Western Ontario. The general theme for the first year is index theory, and the first lecture will be given by Henri Moscovici at 10:30am, Saturday, December 1, at the Fields Institute in Toronto, Canada.
Organizers: Masoud Khalkhali, Dan Kucerovsky, Bahram Rangipour

Upcoming talks 2007-08

10:30 a.m.
Saturday
April 5, 2008

John Phillips, University of Victoria
An Index Theory for Certain Gauge Invariant KMS Weights on C*-Algebras

**Note time
March 22, 2008 --1:30 p.m.

Nigel Higson, Penn State University
K-Homology, Assembly and Rigidity Theorems for Relative Eta-Invariants
I shall describe a connection between K-homology theory and relative eta invariants, specifically a connection between the analytic surgery exact sequence, which is a long exact sequence into which Kasparov's assembly map fits, and rigidity theorems for relative eta invariants, such as for example the rationality of relative eta invariants on positive scalar curvature spin manifolds. A key part of the connection is the construction of a "relative trace map" on the fiber of the assembly map. The construction may be carried out either analytically or geometrically; I shall attempt to describe both approaches. This is joint work with John Roe.
10:30am,
Saturday,
February 2, 2008
(**talk cancelled due to bad weather)
**Nigel Higson, Penn State University
K-Homology, Assembly and Rigidity Theorems for Relative Eta-Invariants
I shall describe a connection between K-homology theory and relative eta invariants, specifically a connection between the analytic surgery exact sequence, which is a long exact sequence into which Kasparov's assembly map fits, and rigidity theorems for relative eta invariants, such as for example the rationality of relative eta invariants on positive scalar curvature spin manifolds. A key part of the connection is the construction of a "relative trace map" on the fiber of the assembly map. The construction may be carried out either analytically or geometrically; I shall attempt to describe both approaches. This is joint work with John Roe.
10:30am,
Saturday,
December 1, 2007
Henri Moscovici, Ohio State University
Characteristic classes in noncommutative geometry
We shall talk about Connes' theory of characteristic classes in
cyclic cohomology, the local index formula for spectral triples with meromorphic continuation, its unexpected implications for the transverse geometry and the theory of characteristic classes of foliations, and its emergent extension to
twisted spectral triples. Prospects and open problems in these directions will be mentioned throughout the lecture. The slides are available at
http://www.math.unb.ca/~dan/NCG_Fields/lecture1/henri_moscovici.pdf.

Support for graduate students is available, please enquire, ncgworkshop<at>unb.ca.
This workshop is associated with the Center for Noncommutative Geometry and Topology at the University of New Brunswick and the Noncommutative Geometry Group at the University of Western Ontario.
www.math.unb.ca/~dan/copal/Centre_main.htm
We thank the Fields Instutute for financial support.


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