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. Go to Diffeology Lectures Web page at Shantu Universitymailto:exwu@stu.edu.cnhttp://math.huji.ac.il/~piz/Site/Shantou-Lectures.htmlhttps://math.stu.edu.cn/main.aspx?type=content&Content_ID=11900shapeimage_2_link_0shapeimage_2_link_1shapeimage_2_link_2