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Speaker:
Radu Toma
Zugehörigkeit:
Universität Bonn
Datum:
Mit, 05/02/2020 - 16:30 - 17:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar Given a positive definite integral binary quadratic form, it is a classical problem in number theory to count the integers that are represented by this form. A modern treatment was given in 2006 by Valentin Blomer and Andrew Granville.
This talk will present a way of extending a theorem of Blomer and Granville to obtain estimates for counting proper representations uniform in the (possibly non-fundamental) discriminant. Subsequently, I will give a sketch of how these estimates were used by Jean Bourgain and Elena Fuchs (2011) in proving the positive density conjecture for Apollonian circle packings.
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