Yoann Dabrowski

I am an assistant professor (Maître de conférence) at Université Lyon 1 since September 2011. I belong to the Algebra, Geometry, Logic group since september 2021.

Office: Braconnier 227

Current Research Interests

I am mainly interested in algebraic and logical structures arising from Functional Analysis (including operator algebras and their applications to Algebraic quantum field theory).

  • In that respect, I am interested in the recent advances in Continuous Model theory and its applications to functional analysis and von Neumann algebras.
  • More generally, I am working on categorical models of substructural logics (primarily Linear logic and its variants and extensions), towards using similar algebraic frameworks more adapted to (non-commutative) functional analysis (for instance, to understand the categorical structure on classes of locally convex vector spaces or on Operator spaces).

    • Publications and preprints on current research interests

    Most of my articles can be found on Arxiv. Links to published versions or preprints can be found below.

    Continuous model theory and logic .
    1. Continuous model theories for von Neumann algebras Journal of Functional Analysis Volume 277, Issue 11, 1 December 2019, 108308 (Also Arxiv:1508.03202)
    2. (with Marie Kerjean) Models of Linear Logic based on the Schwartz $\varepsilon$-product. Theory and applications of Categories, Volume 34 - 2019, 1440-1525
    Planar algebras and Applications to Subfactors.
    1. (with Stephen Curran and Dimitri Shlyakhtenko) Free analysis and planar algebras. Proceedings of the 2014 Maui and 2015 Qinhuangdao conferences in honour of Vaughan F.R. Jones’ 60th birthday p 115

    Past research interests

    My previous research interests and links to older publications can be found on my previous web-page.

    Local (or virtual) seminars

    1. CHoCoLa: Curry-Howard : Calcul et Logique.
    2. Algebraic rewriting seminar
    3. Algebra Seminar in Lyon
    4. Logic Seminar in Lyon

    Recent and Future Activities

    TOPOLOGY, ALGEBRA, AND CATEGORIES IN LOGIC (July 1 - 5, 2024, Barcelona)

    Differential λ-Calculus and Differential Linear Logic, 20 Years Later (May 13 - 17, 2024, CIRM)

    Focus Program on Analytic Function Spaces and their Applications (July 1 - December 31, 2021, online)

    Workshop on higher structures and operadic calculus (June 21-25, 2021, Barcelona and online)

    Workshop on Polynomial Functors (March 15-19, 2021, online)

    Teaching (in french)

    A list of courses given before 2020 and their web pages is here. During the COVID19 pandemic, my teaching webpages were on the university plateform Claroline Connect.

    Lecture on operadic rewriting

    part of the program: Representation Theory, from Schubert Calculus to Rewriting, Master of Advanced Mathematics second year, 2019 - 2020, Lyon.