Number Theory

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  • Number theory seminars
    • Next seminar: 
      3 December 2015
      Francis Brown

      A period is a certain type of number obtained by integrating algebraic differential forms over algebraic domains. Examples include pi, algebraic numbers, values of the Riemann zeta function at integers, and other classical constants.
      Difficult transcendence conjectures due to Grothendieck suggest that there should be a Galois theory of periods.
      I will explain these notions in very introductory terms and show how to set up such a Galois theory in certain situations.
      I will then discuss some applications, in particular to Kim's method for bounding $S$-integral solutions to the equation $u+v=1$, and possibly to high-energy physics.

      • Number Theory Seminar

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