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Graduate Seminar

Brendan Sullivan
Carnegie Mellon University
Title: The Basel Problem

Abstract: The Basel Problem was first posed in 1644 and remained open for 90 years, until Euler made his first waves in the mathematical community by solving it. During his life, he would present three different solutions to the problem, which asks for an evaluation of the infinite series \[\sum_{k=1}^\infty\frac{1}{k^2}\] Since then, people have continually looked for new, interesting, and enlightening approaches to this same problem. Here, we present N different solutions (where N is not to exceed 7 but is no less than 4), drawing from such diverse areas as complex analysis, calculus, probability, and Hilbert space theory. Along the way, we'll give some indication of the problem's intrigue and applicability.

Date: Thursday, April 11, 2013
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Brian Kell