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DTSTART;TZID=America/New_York:20260401T150000
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CREATED:20260326T180346Z
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UID:10007129-1775055600-1775059200@umaine.edu
SUMMARY:Mathematics Colloquium - Dynamics on Character Varieties over Finite Fields
DESCRIPTION:Speaker: Cigole Thomas\, Bates College \nAbstract: Character varieties arise as spaces that parametrize group homomorphisms from a finitely presented group Γ into an “nice” algebraic group G\, up to a natural notion of equivalence. In this talk\, we explore these spaces by studying their points over finite fields Fq and examining how symmetries of the group Γ\, encoded by its outer automorphism group Out(Γ)\, act on them.\nWe introduce a natural stratification of the space and count the number of points in each stratum\, using these counts to gain insight into the asymptotic behavior (when q goes to ∞) of the action as the size of the field grows. In particular\, we consider the case where Γ = Zr and G = SL3(C). \nThe talk will be self-contained and aimed at a broad audience\, with the necessary background developed along the way.
URL:/calendar/event/mathematics-colloquium-dynamics-on-character-varieties-over-finite-fields/
LOCATION:Hill Auditorium\, Barrows Hall\, 91����\, Orono\, ME\, 04469\, United States
CATEGORIES:Lectures & Seminars
ORGANIZER;CN="Department of Mathematics & Statistics":MAILTO:mathstats@maine.edu
GEO:44.8922637;-68.6714486
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