|
Professor | Damien Calaque |
Assistant |
Claudia Scheimbauer, Mathieu Anel |
Time | Tue 3-5 |
Place | HG G19.2 |
Requirements | Students are required to give one or two talks, depending on the subject and length. |
Meetings | We will meet once approximately 2 weeks before the talk, usually on Monday afternoons ("office hours") in Damien Calaques office HG G 28.3. Furthermore, you can ask questions to Claudia or Mathieu. |
First meeting |
Tue, Sept. 18, 3-5. Talks will be distributed at the first meeting! Please contact the organizers beforehand if you are unavailable on this day. |
The ultimate goal for this Seminar is to understand the statement of the cobordism hypothesis after Baez-Dolan and Lurie. This will serve as a pretext for introducing several important notions and concepts from higher category theory and homotopy theory.
A detailed outline of the talks can be found here.
Week | Date | Speaker | Notes (if available) |
Week 1 | Sept. 25 | Merlin | The symmetric monoidal category nCob and nTFTs. |
Week 2 | Oct. 2 | Daniel, Julian | Duality in monoidal categories, Presentation of 1Cob by generators and relations. |
Week 3 | Oct. 9 | Thomas | 2TFTs and Frobenius algebras. |
Week 4 | Oct. 16 | Rade, Damien | Extending down TFTs, Bicategories. |
Week 5 | Oct. 23 | Claudio, Florian | Symmetric monoidal bicategories. |
Week 6 | Oct. 30 | summary session | |
Week 7 | Nov. 6 | Ivan, Camilo | 2-dualizable objects. |
Week 8 | Nov. 13 | Daniel, Julian | Model categories, Models for \infty-groupoids. |
Week 9 | Nov. 20 | Adrian | Models for (\infty,1)-categories and Quillen equivalences |
Week 10 | Nov. 27 | Merlin, Florian | The (\infty, 1)-category 1Cob_\infty. |
Week 11 | Dec. 4 | Rade, Claudia | n-fold Segal spaces, The n-fold complete Segal space Bord_n. |
Week 12 | Dec. 11 | Paul | Symmetric monoidal structures on higher categories. |
Week 13 | Dec. 18 | Mathieu, Damien | Around fully dualizable objects in (\infty,n)-categories. |
Warning: There are some errors in the talks on Bord_n and its symmetric monoidal structure which will be corrected in an article in preparation by the organizers.
If you read french, there are some interesting lecture notes from a workshop on Lurie's and Baez-Dolan's work in Paris, which are available here
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