Asymptotic Invariants of Groups
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چکیده
Nir Avni Counting representations of arithmetic groups I’ll talk about the rate of growth of the number of d-dimensional representations of a higher-rank arithmetic group G(Z), as d tends to infinity. This asymptotics is related to the distribution of random commutators in the congruence quotients of G(Z), the singular values of random matrices in Lie(G), and the geometry of the character varieties of G.
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تاریخ انتشار 2015