La "notion unificatrice" de topos,
invited talk at the Lectures Grothendieckiennes of the
Department of Mathematics of the
École Normale Supérieure,
Paris, 6 March 2018. A video recording is available
here and
the slides
here.
Stone-type dualities through topos-theoretic 'bridges',
four-hour research course given at the conference Logique
catégorique, topos et dualités, Université de Nice - Sophia
Antipolis, 8-12 January 2018:
Talk n.1 Talk n.2
Exposé d'HDR (mémoire
pour l'obtention de l'habilitation à diriger des recherches)
(in French) entitled "Les topos de Grothendieck comme
‘ponts’ unifiants en mathématiques", University
of Paris 7. The text of the HDR (in English) is avaiable
here and the
slides of my presentation (in French)
here. The
Jury's report ("rapport de soutenance") is available
here.
"Introduction to categorical logic, classifying toposes and the 'bridge' technique", 5-hour lecture course
given in English at the conference "Topos à l'IHÉS" (23-27 November 2015).
The videos of the four lectures are available
here. The syllabus of the course is available
here.
An edited version of the four lectures with titles for the
various sections (kindly prepared by S. Dugowson) is available
here.
One-hour interview (in French) by S.
Dugowson and A. Khelif, filmed by L. Honnorat
at IHÉS.
Written synthesis by L. Honnorat available
here.
"Toposes as unifying 'bridges' in Mathematics",
18-hour lecture course given in French at the
Institut de mathématiques de Jussieu (Universités Paris
6-7) from the 14th to the 31st of January 2013. This
course, whose
programme can be found
here,was organized by the « Équipe de logique catégorique » and the
« Laboratoire Preuves, Programmes et Systèmes »
of the Paris 7 University;video recordings of the lectures are available at
this website.
"Théorie de Galois topologique",
seminar presenting the paper "Topological
Galois Theory" given at the University Paris 7 on
16th January 2013. A video recording is
available at
this website.
"Dualité de Gelfand et bases de Wallman",
seminar introducing the contents of the paper "Gelfand
spectra and Wallman compactifications" given at the “Algèbres
d'opérateurs” Seminar of the
Institut de Mathématiques de Jussieu (Universités Paris
6-7). A video-recording is available at
this website.
"Construction de Fraïssé et topos",
seminar presenting some of the main results of the paper "Fraïssé's
construction from a topos-theoretic perspective" given at the
"Séminaire génerale de logique" of the Institut de Mathématiques de Jussieu
(Universités Paris
6-7). A video-recording is available at
this website.
"Théories de type préfaisceau",
seminar presenting some of the main results of the paper "Extensions
of flat functors and theories of presheaf type" given at the "Séminaire
itinerant des catégories" (Paris, 16th November 2013) . A video-recording is available at
this website.