Home » Summer School on Operator Algebras and Noncommutative Geometry
Summer Graduate School
Summer School on Operator Algebras and Noncommutative Geometry
June 14, 2010 - June 25, 2010
University of Victoria, Victoria, BC, Canada.
Heath Emerson, (University of Victoria)
Thierry Giordano, (University of Ottawa)
Marcelo Laca*, (University of Victoria)
Ian Putnam, (University of Victoria)
A famous theorem of Gelfand states that a space can be recovered from the algebra of
continuous complex-valued functions on the space. Other algebras, namely those in which
multiplication is not commutative, do not correspond to classical spaces, rather, they stand
for `noncommutative' or `quantum' spaces. Based on this, Alain Connes' noncommutative
geometry aims to develop the tools of geometry in the setting where a classical space is
replaced by a non-commutative algebra of operators as the object of interest.
The summer school aims to expose participants to the classication of noncommutative
spaces, to the study of their homological and cohomological invariants, and to explore fascinating
new connections between their symmetries and long standing problems in number
The Summer School will feature three 10-lecture series:
1. The structure of nuclear C*-algebras, by Nate Brown (Penn State) and Andrew Toms (Purdue);
2. KK-theory and the Baum-Connes conjecture, by Heath Emerson (Victoria) and Ralf Meyer (Goettingen);
3. C*-dynamical systems from number theory, by Marcelo Laca (Victoria) and Sergey Neshveyev (Oslo).
Additional information can be found on the PIMS page .
Funding & Logistics