**Symmetries and correspondences**** **

Selected colloquium talks, texts and videos: of general interest

**Lectures by Robert Langlands ‘Problems in the theory of automorphic forms: 45 years later’, 2014**

**Video record of the first hour**** **

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****Video record of the second hour**** **

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****Video record of the third hour**** **

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****Comments to the video**

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**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, On Inter-universal Teichmüller theory of Shinichi Mochizuki, 2015**

**Ivan Fesenko, Fukugen, 2016**

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

**Minhyong Kim: Connecting Number Theory to Physics, interview to Quanta Magazine, 2017**

**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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Video records of talks at the IUT Theory Summit, July 2016**** can be watched in the home department of one of its organisers, by prior arrangement **

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