Presented By: Student Number Theory Seminar - Department of Mathematics
Student Number Theory:The Ring of Periods
Alex Bauman
We introduce and define the ring of periods, a subring of the complex numbers defined by Kontsevich and Zagier consisting of "numbers of arithmetic origin." This ring includes all algebraic numbers, but also some transcendental numbers, such as pi. We give examples of periods and state some of the major conjectures involving this ring, including deep connections with arithmetic geometry and PDE's.
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