Lectures on Diffeology
Registration: Please send an email to Enxin Wu (exwu@stu.edu.cn) if you want to attend these lectures. All information will be sent to the registered email address. No fee is needed, but registration is required.
Time: Altogether there will be 17 lectures on the Thursdays listed below, 3:30-5:30pm (Beijing time):, so check your time and be cautious about the time change if you are in another zone (there is no time change in China)
October 2020: 8th, 15th, 22nd, 29th
November 2020: 5th, 12th, 19th, 26th
December 2020: 3rd, 10th, 17th
January 2021: 7th, 21st, 28th
February 2021: 4th, 18th, 25th
Zoom link will be sent one day before each lecture
Contents
Part I: Basics (5 weeks)
Axioms, set theoretics operations, generating families, locality, D-topology, diffeological vector spaces, diffeological groups, local models, etc.
Part II: Topics (8 weeks)
Orbifolds and manifolds with corners,
Fiber bundles,
Homotopy,
Differential calculus,
De Rham and Cech cohomology
Symplectic diffeology
Part III: Recent developments (4 weeks)
Relationship with noncommutative geometry: orbifold and quasifold cases
Riemannian diffeology
References:
•Diffeology, Patrick Iglesias-Zemmour. Mathematical Surveys and Monographs, vol. 185, AMS, 2013.
•Lecture notes will be available on http://math.huji.ac.il/~piz/Site/Shantou-Lectures.html
Note: Due to the possible connection problem for a long time lecture, we suggest that for each lecture, we do 55min lecture + 5min rest for disconnection, and then reconnect for the second half of the lecture. Sorry for any inconvenience caused by this. A reminder will be sent to the registered email one day before each lecture. In case there has to be some change for the time or date of some lectures, notices will be sent a few days before.
