Mathematical Adventures

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Speaker: Katherine Stange, U. of Colorado, Boulder
Title: The rational numbers are not what they seem

Via Zoom at 7:30 pm May 7, 2024

https://scu.zoom.us/j/91740123868?pwd=MUImb2wrRGxXVWZjb3hzbk1zUDIzUT09

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The rational numbers are so familiar and comfortable that we take them for granted. But they have some lovely, deep and unexpected stories to tell. I’ll take you on a visual and geometric tour of some of their inner structure and their ability to organize and describe the real line they inhabit. Then, we’ll dial up the dimension, the geometry, and the visualizations, by moving on to Gaussian rationals—complex numbers with rational coefficients.

Katherine E. Stange is a number theorist and cryptographer at the University of Colorado, Boulder. She is happiest simply wandering around taking field notes and sketches of the bizarre and beautiful behaviour of mathematical flora and fauna. She can be found on the web at https://math.katestange.net and on YouTube at https://www.youtube.com/c/proofofconceptmath .

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