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 | No seminar |
| Nov 1 | Holiday |
| Nov 8 | Construction of Taylor’s tower - Iris Hebbeker Abstract |
| Nov 15 | Homogeneous functors, derivatives - Javier Fernández Piriz Abstract |
| Nov 22 | Cross-effects, layers of the Taylor tower, examples - Yiyang Chang Abstract |
| Nov 29 | No seminar |
| Dec 6 | Derivatives of the identity - Kunhong Du Abstract |
| Higher topos theory Some references: Rezk's notes |
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| Dec 13 | ]Motivation and introduction - Mathieu Wydra Abstract |
| Dec 20 | No seminar |
| Dec 27 | Winter break Have fun! |
| Jan 3 | Winter break |
| Jan 10 | Truncation, connectivity, orthogonality - Yining Chen Abstract |
| Jan 17 | Descent - Carl Foth Abstract |
| Jan 24 | Applications of descent - Julius Mann 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 31 | Title talk - Hoi Pak Lau Abstract |