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Speaker:

Michael Larsen
Affiliation:

Indiana University Bloomington
Date:

Fri, 26/07/2024 - 09:30 - 10:30
Location:

MPIM Lecture Hall
Parent event:

Conference on "Arithmetic Geometry", July 22 - 26, 2024 Recent progress on character bounds for groups of Lie type makes it feasible in many cases to find the asymptotic growth, for fixed q and n tending to infinity, of the number of n-dimensional representations of a Fuchsian group G over the field with q elements. Applications include determining the dimensions of complex representation varieties of Fuchsian groups in high degree and proving the existence of strongly Zariski-dense Fuchsian subgroups, in the sense of Breuillard-Green-Guralnick-Tao, of classical groups of high rank.

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