THEMATIC PROGRAMS

May 22, 2013
THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR

June 3-28, 2013
Focus Program on Noncommutative Geometry and Quantum Groups

in honour of Marc A. Rieffel

Organizers
George Elliott (Toronto), Piotr M. Hajac (Poland)
Hanfeng Li (Buffalo), Ian Putnam (Victoria)
Jonathan Rosenberg (Maryland)

This program will include three weeks of short courses intended primarily for graduate students and postdocs, with participatory seminars as well, followed by a week-long meeting which would in part be a celebration of the 75th birthday of Marc Rieffel of the University of California, Berkeley, who has been one of the most influential mathematicians in the world in the area of noncommutative geometry and quantum groups.

Outline of Scientific Activities

Weeks from June 3-21, will be used for short courses on specific topics, along with accompanying seminars in the same area. There will be two short courses each week.

Daily Schedule:  
9:30-10:30 Morning short course
10:30-11:00 Break
11:00-12:00 Seminar Session
2:00-3:00 Afternoon short course
3:00-3:30 Tea Break
3:30-4:30 Seminar Session

June 3-7 (organized by Hanfeng Li and Ian Putnam)
will be devoted to the interaction between noncommutative geometry and dynamical systems,
Location: Stewart Library, Fields Institute

Speakers:  
David Kerr
 
  Entropy, dynamics, and operator algebras
Thierry Giordano
 
  Topological orbit equivalence and full groups
June 10-14
(organized by Piotr M. Hajac)
will be devoted to quantum groups and Hopf cyclic homology
Location: Bahen Building, Room 1190 (map)

Speakers:
Alfons Van Daele
   

Bahram Rangipour
Hopf-Cyclic Homology: How and Why
  Lecture 1: Motivation and preliminaries
Lecture 2: Construction and examples
Lecture 3: Connes-Moscovici type Hopf algebras
Lecture 4: Computational methods
Lecture 5: Characteristic maps and cup products


June 17-21

(organized by Jonathan Rosenberg) would be devoted to connections between noncommutative geometry and index theory, geometry, and mathematical physics.
Location: Bahen Building, Room 1170 (map)

Speakers:
  Nigel Higson
Noncommutative geometry and representation theory
  Paul Baum
Lecture 1 on Atiyah-Singer Revisited
Lecture 2 on What is K-homology?
Lecture 3 on Beyond Ellipticity (Index theory for non-elliptic Fredholm differential operators)
Lecture 4 on The Riemann-Roch theorem
June 24-28, 2013 Conference on Noncommutative Geometry and Quantum Groups
Location: Bahen Building, Room 1240(map)

The last week will be devoted to a capstone conference. The conference would run Monday through Friday with the following approximate daily schedule:

9:10-10:00 Lecture 1
10:10-11:00 Lecture 2
11:30-12:20 Lecture 3
2:00-2:50 Lecture 4
3:00-3:30 Tea Break
3:30-5:45 Seminar Session

The afternoon seminar session will be devoted each day to a different topic or two different topics running in parallel, chosen from the following list:
- C*-algebras; actions of quantum groups; geometry of spectral triples; Hopf-cyclic cohomology;
- noncommutative geometry applied to physics;
- noncommutative geometry applied to number theory;
- dynamical systems and their interaction with noncommutative geometry; groupoids and crossed products;
and quantization.
Each seminar would be organized in a way to permit significant participation by students and recent Ph.D.s.

Program Visitors

All scientific events are open to the mathematical sciences community. Visitors who are interested in funding are requested to apply by filling out the application form . Additional support is available (pending NSF funding) to support junior US visitors to this program.
Fields scientific programs are devoted to research in the mathematical sciences, and enhanced graduate and post-doctoral training opportunities. Part of the mandate of the Institute is to broaden and enlarge the community, and to encourage the participation of women and members of visible minority groups in our scientific programs.


For additional information contact thematic@fields.utoronto.ca

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