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.
|Forms over rings, Witt and Grothendieck-Witt groups
|Examples: Poincaré categories of Modules
|Examples: Poincaré categories of parametrized spectra
|Examples: Poincaré categories of chain complexes and periodicity
|Metabolic objects and L-groups
|L-spectra and bordism invariance
|Grothendieck-Witt spectra and additivity
|David Tintinago Pinzon
|The fundamental Tate square