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Fractal patterns and congruence relations in the Taylor expansion of the Jacobi theta function at x=1

Mathematical Physics & Probability

Speaker: Dan Romik, UC Davis
Related Webpage: https://www.math.ucdavis.edu/~romik/
Location: 1147 MSB
Start time: Wed, Nov 1 2017, 4:10PM

I will discuss work in progress at the interface of combinatorics, modular forms and complex analysis regarding the Taylor expansion of a well known special function, the Jacobi theta function, around the point x=1. Curiously, studying this question leads to some interesting fractal patterns.