Hugo Bacard’s
Hugo Bacard’s
Web pages I regularly visit :
John Baez’s web site
The n-Category Café and the nLab
Alain Connes’s home page
Jacob Lurie’s home page
Bertrand Toën’s home page
Charles Weibel’s web site
I completed my PhD in 2012 at the University of Nice under the supervision of Carlos Simpson.
• Title: «Catégories faiblement enrichies sur une catégorie monoïdale symétrique» («Weakly enriched categories over a symmetric monoidal category»)
• Phd thesis manuscript: .pdf
I’ll be a postdoc at the University of Western Ontario, working in the research group of Rick Jardine
Here you can find my CV : .pdf
I am a member of the ANR project HODAG
My current interests are :
Homotopy theory
Hodge theory
Contact :
Laboratoire Jean-Alexandre Dieudonné Université de Nice Sophia Antipolis Parc Valrose
06108 Nice Cedex 2
E-mail: hugo.bacard[at]unice.fr
Tel : (+33) 04 92 07 62 79
Some math ressources :
«Homotopy Theory of Higher Categories» : An excellent book by Carlos, actually available on arxiv !!!
The Stacks Project : Almost everything on Algebraic stacks and Algebraic geometry
J.S.Milne’s home page : There are a lot of excellent notes on Algebraic geometry and Number theory
Rick Jardine’s home page : We can find many Lectures on Homotopy theory, K-theory, and Algebraic geometry
Encyclopaedia of Mathematics : A good math dictionnary
Allen Hatcher’s home page : Many books on Algebraic Topology, K-theory and other topics
Ravi Vakil’s home page : Many excellent notes on algebraic geometry and other topics
Noncommutative Geometry Ressource Center : A great job !!
Diagrams : I use Xy-Pic for my Latex diagrams. I learned to use Xy-Pic very quickly from Aaron Lauda’s website
Some citations I like :
«C’est dans cet acte de «passer outre», d’être soi-même en somme et non pas seulement l’expression des consensus qui font loi, de ne pas rester enfermé à l’intérieur du cercle impératif qu’ils nous fixent- c’est avant tout dans cet acte solitaire que se trouve
«la création». Tout le reste vient par surcroît.»
Alexandre Grothendieck
[Récoltes et Semailles: L’importance d’être seul]
«In mathematics, there are not only theorems. There are, what we call, "philosophies" or "yogas," which remain vague. Sometimes we can guess the flavor of what should be true but cannot make a precise statement. When I want to understand a problem, I first need to have a panorama of what is around it. A philosophy creates a panorama where you can put things in place and understand that if you do something here, you can make progress somewhere else. That is how things begin to fit together.»
Pierre Deligne , talking about ‘Yoga’.
[In Mathematicians, Mariana Cook, PUP, 2009, p156.]
«Il n’y a sans le rêve ni art, ni mathématiques, ni vie… »
Michael Atiyah
Events :
Olivia and me have organized the «Colloque Doctorants Dieudonné 2010». Here is the corresponding webpage .
Posters :
Here is my poster exposed during the «Journée des doctorants 2° année».
Selected talks :
Segal Enriched Categories : my talk at the «Young Topologists Meeting» 2010 in Copenhagen.
Co-Segal categories: Colloquium in Göttingen (2012)
Catégories enrichies et faiblement enrichies: talk at the «Colloque Doctorant 2012» (in French)
Preprints :
Segal Enriched Categories I : http://arxiv.org/abs/1009.3673
Lax Diagrams and Enrichment : http://arxiv.org/abs/1206.3704
Segal Enriched Categories II : In progress