**Symmetries and correspondences**** **

Selected colloquium talks, texts and videos: of general interest

**Nigel Hitchin, Mirror symmetry and Langands duality, 2014**** **

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****Nigel Hitchin, Higgs bundles and mirror symmetry, 2016**** **

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****Nigel Hitchin, Integrable systems and algebraic geometry, 2018**** **

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**Boris Zilber, On the unreasonable effectiveness of mathematics, 2015**** **

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

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

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**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**** **

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