The aim of the seminar is to present the theory of Poincaré categories, as well as their L-spectra and Grothendieck-Witt spectra and the relationship. The seminar will follow some sections of the paper series Hermitian K-theory of stable infinity-categories of Calmès-Dotto-Harpaz-Hebestreit-Land-Moi-Nardin-Nikolaus-Steimle, Arxiv: 2009.07223, 2009.0723, 2009.0724.
We will meet on Wednesdays at 4pm during term on MS teams. The talks would be informal, and questions and discussions are encouraged.
Here is an outline of the talks, which will be updated as the seminar progresses. If you would like to volunteer for a talk please get in touch.
|Apr 28||Overview||Emanuele Dotto|
|May 5||Forms over rings, Witt and Grothendieck-Witt groups||Emanuele Dotto|
|May 12||Poincaré categories||Emanuele Dotto|
|May 19||Examples: Poincaré categories of Modules||Emanuele Dotto|
|May 26||Examples: Poincaré categories of parametrized spectra||Emanuele Dotto|
|June 2||Examples: Poincaré categories of chain complexes and periodicity||Emanuele Dotto|
|June 9||Metabolic objects and L-groups||Emanuele Dotto|
|June 16||L-spectra and bordism invariance||Julie Rasmusen|
|June 23||Grothendieck-Witt spectra and additivity||David Tintinago Pinzon||at 16:45|
|June 30||The fundamental Tate square||Emanuele Dotto|