Seminar Details
Classical Mechanics, Symplectic Geometry, Combinatorics
- Start Date: November 18, 2020
- Event Start Time: 12:15 PM
- Event End Time: 1:15 PM
- Seminar Series: Graduate Combinatorics Seminar
- Presenter(s): Robert Dougherty Bliss - Rutgers University
- Event Location: Online Event
- Event Additional Info: <p>Presented via Zoom - Meeting ID: 984 4140 9199</p> <p><a href="https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Frutgers.zoom.us%2Fj%2F98441409199&data=04%7C01%7C%7C65c3d8ec010f460475f508d884c456b1%7Cb92d2b234d35447093ff69aca6632ffe%7C1%7C0%7C637405326087432669%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=o16NJyf9SZ0ksckMoobsChi5qNj4oc%2Fz4Uk%2BRaetqQc%3D&reserved=0">https://rutgers.zoom.us/j/98441409199</a></p> <p> </p>
- Presentation Type: Stand Alone Presentation
- Abstract:
The well-exploited theory of SIMPLE continued fractions has produced some dazzling identities and wonderful irrationality proofs. The often-overlooked theory of GENERAL continued fractions is harder to champion, but just as, if not more, interesting. A recent project (viz. The Ramanujan Machine) tried to numerically "fit" general continued fractions to well-known constants, hoping to find very good rational approximations. To highlight the power of symbolic experimentation, I will tour us through automatically proving some of these conjectures and generalizing them to infinite families.