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SUMMARY:Galois action on compact hyperbolic surfaces and their associated 
 solenoids.
DTSTART:20190328T130000
DTEND:20190328T140000
DTSTAMP:20260510T185720Z
UID:79291f52c4be59f3ddb496aa50dc2e5dc47859b257d83818c39b7c59
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gabino González-Diez\nLet S be a compact hyperbolic surface u
 niformised by a Fuchsian group\nΓ. For any element σ ∈ G:= Gal(C/Q) th
 e natural Galois action of G\non the coefficients of the algebraic equatio
 n corresponding to the Riemann\nsurface S yields a new hyperbolic surface 
 S σ with uniformising group Γ σ .\nLittle seems to be known about the r
 elationship between Γ and Γ σ as\nsubgroups of P SL 2 (R). I will attem
 pt to show that by studying the action of\nG on the solenoid associated to
  S one can find some invariants of this Galois\naction. I will apply these
  results to present explicit (arithmetic) Fuchsian\ngroups that uniformise
  non-Galois-conjugate hyperbolic surfaces.
LOCATION:GR A3 30 https://plan.epfl.ch/?room==GR%20A3%2030
STATUS:CONFIRMED
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