Polynomial Endoscopy: What can you know if you can&apos\;t find the roots?

This talk is about polynomial equations and their roots\, a topic with a long history. We will focus on the period after the 16th century discovery of how to solve equations of degree 3 and 4. It quickly became clear that degree 5 was much more difficult\, leading to the question of what might be said about the roots without actually finding them. We will pay particular attention to Descartes&apos\;s Rule of Signs and the polynomial discriminant.

URL;VALUE=URI://www.colby.edu/events/viewevent?rID=130084&bID=1044598 SUMMARY:Mathematics and Statistics Colloquium DTSTART;TZID=America/New_York:20171025T160000 END:VEVENT END:VCALENDAR