Special Colloquium

Speaker: John F. Duncan (Emory University)
Title: Moonshine, Shadows, and a Problem from Antiquity
Time: 2020-12-17 (Thu.)  10:00 - 11:00
Place: Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: I will give an overview of mathematical moonshine, from its monstrous origins in the 1970s, through its umbral manifestation in the 2010s, to its modern applications in arithmetic geometry. In the final part I will describe recent work with Cheng and Mertens that applies the theory to the congruent number problem from antiquity: Which positive integers arise as the areas of right triangles with rational side lengths?
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