Victor Saunier

Hello! I'm Victor Saunier, currently pursing a PhD in the Algebraic Topology team of Université Sorbonne Paris Nord, under the supervision of Yonatan Harpaz. I am a part of his 5-year ERC project on Foundations of Motivic Real K-theory and my interests span all things K-theory, with a distinct taste for higher categorical ideas. The goal of my thesis is to bring the celebrated Dundas-Goodwillie-McCarthy theorem to the context of stable ∞-categories and provide a proof for it which is purely ∞-categorical in its flavour.

Preprints & Papers

The fundamental theorem of localizing invariants (🔗 Latest version), September 2022. Preprint accessible on arxiv

Talks and notes

Conferences and colloquiums

The "fundamental" theorem of localizing invariants (🔗), at the annual conference of the GDR Théorie de l'homotopie. October 2022. Beamer also accessible at the conference's webpage.

LAGA's algebraic topology team seminar

Deformation theory and spherical Witt vectors. Upcoming (November 2022) Notes for the first talk of a workgroup on the Chromatic Nullstellensatz paper.
Spectres et stabilisations d'∞-catégories (🔗). October 2021. Notes for the first talk of a workgroup on Gijs Heuts' thesis, also accessible at Geoffroy Horel's webpage. In French, but strongly inspired from Yonatan Harpaz's 2017 talk on a similar topic, available at his webpage.

LAGA's baby seminar

During the year 2022-2023, and due to the growing complexity of being a young PhD/researcher in a domain as vast as Algebraic Topology/Homotopy Theory, I will organize a small seminar aimed at PhD/young postdocs to present (very) classical material. The first sessions will aim at giving everyone enough background to attend the "grown-up" seminar on the Chromatic Nullstellensatz. The provisional program is the following:

Notions of ∞-categories. Oisin Flynn-Connolly. November 10, 2022.
Spectra and stable ∞-categories. Victor Saunier. November 24, 2022
Bousfield localisations and chromatic homotopy. Guglielmo Nocera. December 8, 2022
Operads and ∞-operads. Francesca Pratali & Jakob Ulmer. Date TBD
E-∞ ring-spectra. Jordan Levin. Date TBD

Teaching material

Geoffroy Horel's M2 course

The TDs are held on Wednesday from 13h45 to 15h45, in Halles aux Farines (salle 475F). You can find below the Worksheets, which will be updated as

Worksheet I on model categories. Link to the pdf
Worksheet II on more model categories. Link to the pdf
Worksheet III on homotopical (co)limits & (very few) stable homotopy theory. Link to the pdf