Next week I will be in Domodossola giving a research course on topos theory for the 2022 edition of the International Alpine School of Mathematics and Physics.
The title of my course is Grothendieck toposes, invariants and ‘bridges’. The course will be an introduction to the theory of Grothendieck toposes, with a specific emphasis on the invariants that one can define on them. The point of view that we shall take is the one provided by the theory of toposes as ‘bridges’, which we shall present and illustrate through a selection of notable examples. We shall also discuss the application of these techniques to the investigation and discovery of dualities, equivalences and correspondences in mathematics and beyond.
The associated Twitter account can be accessed here.
Thanks again to Nicolas Martin and all the staff of “La méthode Scientifique” for their invitation! I look forward to join you again in a few weeks, always with Alain Connes and Laurent Lafforgue, for the second part of the broadcast.
An update: a transcription of the emission by Denise Chemla is available here.
On Thursday 17 February, from 16 to 17 French time, I will be a guest, together with Alain Connes and Laurent Lafforgue, at the scientific radio broadcast La Méthode Scientifique of France Culture, to talk about Grothendieck and crucial themes addressed in his recently published text Récoltes et Semailles, such as toposes and ethical issues in mathematics.