Algebraic Geometry and Differential Equations

About the lecture

Abstract: The use of elliptic functions to solve equations like the motion of a pendulum or a rigid body is a shadow of a much wider area of application of algebraic geometric notions to solving special nonlinear differential equations. The lecture will show how some natural procedures in algebraic geometry help to understand the behavior of integrable systems, especially near the so-called critical locus.

Speaker

Nigel Hitchin

Emeritus Savilian Professor of Geometry, Oxford University; Professorial Fellow, New College

  • Prof. Nigel Hitchin is Emeritus Savilian Professor of Geometry at Oxford University.
  • His interests lie in differential and algebraic geometry and their interface with theoretical physics.
  • His early career was in Oxford and he returned there in 1997 after holding Chairs in the Universities of Warwick and Cambridge.
  • In 2016 he was awarded the Shaw Prize in Mathematical Sciences. 

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