
SCIENTIFIC PROGRAMS AND ACTIVITIES 

July 23, 2019  
Bimonthly Canadian Noncommutative Geometry Workshop

Speaker Abstracts and links to preprints  Fields Visitor Resources 
BiMonthly Noncommutative Geometry Meeting Home Page 
Upcoming talks 200708 

10:30 a.m. 
John Phillips, University of Victoria 
**Note time 
Nigel Higson, Penn State University KHomology, Assembly and Rigidity Theorems for Relative EtaInvariants I shall describe a connection between Khomology 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 KHomology, Assembly and Rigidity Theorems for Relative EtaInvariants I shall describe a connection between Khomology 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.