Topology and Geometry of Torus Actions and Related Combinatorics
Description
Instructor: Lisa Jeffrey (6 weeks until reading week), Mikiya Masuda (6 weeks after reading week)
* Please note that this course has a tentative date to resume April 29th. Updates will be posted here*
This course will cover
(1) background for group actions on topological spaces
(2) Hamiltonian group actions
(3) Actions of discrete groups on topological spaces
(for example actions of Z2)
(4) Actions of compact abelian groups (in other words
copies of the circle group U(1)n) on smooth manifolds
(5) Actions of compact nonabelian grroups (for example U(n) and
SU(n)
(6) Fixed point set of a group action
(7) Action of a group on the tangent space at a fixed point
(a) compact abelian groups
(b) compact nonabelian groups
(8) Equivariant characteristic classes
(9) Equivariant cohomology
(10) Recent results
Texts:
(1) V. Guillemin, Moment Maps and Combinatorial Invariants of Hamiltonian
(T^n) - spaces. Birkhauser Progress in Mathematics (1994)
(2) Toric Topology (V. Buchstaber and T. Panov)
(3) Toric Topology (proceedings, Osaka 2006)
Grading: 1 final presentation or written report , 100%
Schedule
12:00 to 13:00 |
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
11:00 to 13:00 |
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
12:00 to 13:00 |
No Title Specified
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
11:00 to 13:00 |
No Title Specified
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
12:00 to 13:00 |
No Title Specified
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
11:00 to 13:00 |
No Title Specified
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
12:00 to 13:00 |
No Title Specified
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
11:00 to 13:00 |
No Title Specified
Lisa Jeffrey, University of Toronto Location:Fields Institute, Room 210 |
12:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University Location:Fields Institute, Room 210 |
11:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
12:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
11:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University Location:Fields Institute, Room 210 |
12:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
11:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
12:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
11:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
12:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
11:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
12:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |
11:00 to 13:00 |
No Title Specified
Mikiya Masuda, Osaka City University |