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VERSION:2.0
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SUMMARY:Deformation theory and finite simple quotients of triangle groups
DTSTART:20130415T090000
DTEND:20130415T101500
DTSTAMP:20260917T010730Z
UID:3feb8bb8c1d2bcb5e754b3d3cab5a6d1c793f06046ba95c4ef1a5d2d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Claude Marion [Fribourg]\nLet 2≤a≤b≤c∈N with 1/a+1/b+1
 /c<1 and T be the triangle group 〈x\,y\,z : x^a = y^b = z^c = xyz = 1〉
 . Many papers have been dedicated to the question of which finite (simple)
  groups G(Fq) are quotients of T\, or in other words when the equations ab
 ove can be solved in G(Fq) with x\, y and z generating G(Fq). Two main met
 hods have been applied: explicit or probabilistic ones. We offer a third m
 ethod: using deformation theory to study these equations in G(C). This new
  approach gives some systematic explanation of when groups of type G(Fq) a
 re quotient of a given T. Along the way\, we answer a question of Guralnic
 k showing that every T is saturated with quotients of type E8(q). (Joint w
 ork with Larsen and Lubotzky.)
LOCATION:MA A3 31
STATUS:CONFIRMED
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