Contents of the page Announcements Topics of the course Course material Practical information Announcements Topics of the course Categories, universal properties, functors. Natural transformations, adjoint functors and categorical equivalences. Concrete dualities. Yoneda Lemma. Sheaves and topoi. Course material Harold Simmons. An…
At last, we have finished and submitted our paper on “General affine adjunctions, Nullstellensätze, and dualities” co-authored with Olivia Caramello and Vincenzo Marra. Abstract. We introduce and investigate a category-theoretic abstraction of the standard “system-solution” adjunction in affine algebraic geometry.…
This year I teach a course (12 hours) a the AILA summer school of logic. Below one can find the slides of my first three lectures and some references. Lecture 1 (Classical propositional logic and Boolean algebras) Lecture 2 (Algebraic completeness of…
These are the slides of my tutorial on Dualities at the $16^{th}$ Latin American Symposium on Mathematical Logic. 28th July – 1st August 2014. Buenos Aires, Argentina. A shorter version can be found here.
Finally I wrote some slides about the long-waiting article I am writing together with Olivia Caramello and Vincenzo Marra on adjunctions, dualities, and Nullstellensätze . These slides where presented at the AILA meeting in Pisa and at the Apllied Logic…