Seminar Details
Minimal Length Representations of the Natural Numbers and Why They Matter
- Start Date: October 11, 2018
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Akshunna Shaurya Dogra - New York University (NYU)
- Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
- Presentation Type: Stand Alone Presentation
- Abstract:
This talk will discuss minimal length representations of the Natural numbers under elements from a pre-defined symbol library O. We will mostly focus on symbol libraries consisting of 1 and different kinds of hyper-operations. We will go over both general and specific patterns emerging from different choices of symbol libraries, obtain bounds on the lengths expected, define numbers of special interest and prove and/or experimentally verify the existence of certain behaviors in these numbers. If time permits, we will also discuss how the results obtained can be generalized to a discussion on discrete posets, explore connections to monoid theory and prove/predict number theoretic results from the machinery discussed in the talk.