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Noncommutative geometry and its applications
Colloquium| Speaker: | Jerry Kaminker, University of California, Davis and IUPUI |
| Location: | 693 Kerr |
| Start time: | Mon, Oct 31 2005, 4:10PM |
Description
Noncommutative geometry, in the spirit of Alain Connes, has its
roots in index theory of elliptic operators, ergodic theory, and quantum
mechanics. It has been applied in many contexts--topology, physics,
representation theory, and dynamics, to name a few. One of its strengths is
that it suggests unexpected relations between different areas and new ways
of looking at problems.
This talk will start with a discussion of the basic notions of
noncommutative geometry as they evolved from their commutative analogs,
followed by examples of how the theory has been used to solve and understand
some problems in topology and physics. A particular topic we will try to
cover is how duality in topology becomes a duality in the noncommutative
setting which is related to ones that show up in physics.
Coffee and cookies at 3:45 in Adler Commons Room (5 floor)