Tutorial on Dualities
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.
Tags: adjunction, Algebraic geometry, Birkhoff subdirect representation, categorical duality, E-compact spaces, Esakia duality, Fixed points, Fourier transform, Galois connection, Gel'fand duality, Gel'fand transform, Hilbert Nullstellensatz, Pontryagin duality, Pontryagin transform, Priestley duality, Stone duality, Tutorial, Zariski topology