MathCS Seminar

Title: Dedekind Sums and Geometry
Seminar: Algebra and Number Theory
Speaker: Mark A. Norfleet of Emory University
Contact: Michael H. Mertens, michael.mertens@emory.edu
Date: 2015-09-29 at 4:00PM
Venue: W304
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Abstract:
We will introduce how the geometry of the upper half plane model of the hyperbolic plane can be use to calculate Dedekind sums. Using this geometric perspective, "generalize'' Dedekind sums can emerge from the existence of very particular (non-arithmetic) Fuchsian groups sitting inside of mathrm{PSL}_2 (mathbb{Q}). We will conclude by discussing the difficulties in forming an analogue of Dedekind reciprocity and other avenues for further investigation.

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