Olivia Caramello's website

Videos

 

• The idea of 'bridge' and its unifying role, talk (in Italian) at TEDxLakeComo, 10 November 2018: video-recording available here.
  

 

• Grothendieck toposes as 'bridges' between theories, research course at the school of "Toposes in Como", 24-29 June 2018:
  Lecture n.1
  Lecture n.2
  Lecture n.3
  Lecture n.4
  
  
The slides are available here.

 

• 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.
  

 

• Grothendieck toposes and their roles in Mathematics, invited talk at the 4th Huawei-IHES Workshop on Mathematical Theories for Information and Communication Technologies, IHÉS, France, 12 April 2018.
  

 

• Inaugural lecture of the working group on categorial logic and the 'bridge' technique at the École Polytechnique, 5 March 2018.
  
  

 

• 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
  
Talk n.3         
Talk n.4

The slides are available here.

 

• 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.




•  "Caractérisation d’invariants topos-théoriques en termes de sites", seminar presenting (some of the results of) the papers "Site characterizations for geometric invariants of toposes" and "Topologies for intermediate logics" given at the University Paris 7 on 6th February 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.
  

   

  
  
• "Équivalence de Morita entre MV-algèbres et ℓ-groupes abéliens avec unité forte", seminar presenting the contents of the paper "The Morita-equivalence between MV-algebras and abelian ℓ-groups with strong unit" 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.