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

Untitled manuscript on the universal property of THH with coefficients and its consequences, joint with Yonatan Harpaz and Thomas Nikolaus. Upcoming (and likely to split in multiple papers).
On the Theorem of the Heart. Upcoming; Draft accessible upon request.
The fundamental theorem of localizing invariants (🔗 Latest version, arxiv), September 2022. Accepted for publication in Annals of K-theory.

Talks and notes

Conferences and colloquiums

The universal property of THH and the Dundas-McCarthy theorem, at the oberseminar in University of Bonn. April 2023.
The universal property of THH and the Dundas-McCarthy theorem, at the workshop on Hermitian K-theory and THH at Radboud University Nijmegen. March 2023.
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

Trace methods for stable ∞-categories. (October 2023)
Deformation theory and spherical Witt vectors. (November 2022)
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

The baby seminar will return for 2023-2024. Topic and starting dates still undecided.

Teaching material

Geoffroy Horel's M2 course (2022-2023)

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

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