Symmetries and correspondences 


Selected colloquium talks, texts and videos: of general interest


Nigel Hitchin, Mirror symmetry and Langands duality, 2014 

Nigel Hitchin, Higgs bundles and mirror symmetry, 2016 

Nigel Hitchin, Integrable systems and algebraic geometry, 2018 


Boris Zilber, On the unreasonable effectiveness of mathematics, 2015 

Boris Zilber, The geometrical semantics of algebraic quantum mechanics, 2016 

Boris Zilber, On algebraically closed fields of characteristic 1, 2016 


Ivan Fesenko, 10 hours of lectures on class field theory standpoint and its three fundamental generalisations, July-August 2018, Kyoto

Ivan Fesenko, Class Field Theory Guidance and Three Fundamental Developments in Arithmetic of Elliptic Curves, Oxford, 2018

Ivan Fesenko, Fukugen, 2016


Minhyong Kim: Arithmetic Chern-Simons Theory, part I, 2017

Minhyong Kim: Arithmetic Chern-Simons Theory, part II, 2017


Animations to illustrate IUT theory of Shinichi Mochizuki