This is a master students seminar, which means you will take turns to present each topic. You will be meeting with us in the week before your presentation to clarify questions, run the format of the talk you are planning, and/or practice your talk.
More references and information to come. Looking forward to meeting you!
When and where: This seminar will take place on Fridays at 10:00 in SemR 0.003.
Organizers: Félix Loubaton and myself. Don’t hesitate to contact us if you have any questions regarding this seminar.
Schedule
Below is a tentative schedule, things may change a bit depending on the background and interests of the participants, the speed we cover topics, etc.
| Functor calculus Some references: Goodwillie I Goodwillie II Goodwillie III Nice overviews and other sources: https://arxiv.org/pdf/1902.00803 https://arxiv.org/pdf/math/0410342 For this part, we are following Talbot 2012 program; there are resources in the website https://math.mit.edu/events/talbot/index.php?year=2012&sub=talks |
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| Oct 11 | Stable categories, spectra, spectrum objects - Speaker Abstract |
| Oct 18 | Cubical diagrams, n-excisive functors, (basics of) analytic functors - Yordan Toshev Abstract |
| Oct 25 | Construction of Taylor’s tower - Ben Steffan Abstract |
| Nov 1 | Holiday |
| Nov 8 | Homogeneous functors, derivatives - Iris Hebbeker Abstract |
| Nov 15 | Cross-effects, layers of the Taylor tower, examples - TBD Abstract |
| Nov 22 | Derivatives of the identity - Javier Fernández Piriz Abstract |
| Nov 29 | Analytic functors, Blakers-Massey theorem - Kunhong Du Abstract |
| Higher topos theory Some references: Rezk's notes |
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| Dec 6 | Motivation and introduction - Mathieu Wydra Abstract |
| Dec 13 | Truncation, connectivity, orthogonality - Yining Chen Abstract |
| Dec 20 | Descent - Ruizhi Zhu Abstract |
| Dec 27 | Winter break Have fun! |
| Jan 3 | Winter break |
| Jan 10 | Applications of descent - Yiyang Chang Abstract |
| Functor calculus and higher topos In the last lectures we expect to see some applications and relations between these two topics. |
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| Jan 17 | Title talk - Carl Foh Abstract |
| Jan 24 | Title talk - Julias Mann Abstract |
| Jan 31 | Title talk - Hoi Pak Lau Abstract |