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SUMMARY:Galois groups and monodromy in algebraic geometry - Matteo Verni\,
  Institut de Mathématiques de Jussieu - Paris Rive Gauche
DTSTART:20250131T160000Z
DTEND:20250131T170000Z
UID:TALK225619@talks.cam.ac.uk
CONTACT:Adrian Dawid
DESCRIPTION:Many interesting counting problems (e.g. how many lines are on
  a smooth cubic surface in P^3?) come with the additional natural question
  of:  which kind of symmetries do these finitely many solutions have? Sinc
 e before the 20th century\, geometers have been thinking about the "Galois
  group" of such problems. Indeed there are two natural ways to produce suc
 h symmetries: by Galois theory of fields\, and by monodromy of finite topo
 logical coverings. \nIn this talk we will see that\, in those enumerative 
 problems formulated via algebraic geometry\, these two  coincide\, creatin
 g a fascinating link between general topology and pure algebra. We will di
 scuss this in action\, in a few concrete examples.
LOCATION:MR13
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