Seminar Details
Characterizing Transcendence in Combinatorics
- Start Date: November 9, 2023
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Marni Mishna - Simon Fraser University
- Event Location: Online Event
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
The problem of understanding the structure of transcendental objects has fascinated mathematicians for well over a century. Combinatorics provides an intuitive framework to study power series. A combinatorial family is associated to a power series in R[[t]] via its enumerative generating function wherein the number of objects of size n is the coefficient of t^n. Twentieth century combinatorics and theoretical computer science provided characterizations of classes with rational and algebraic generating functions. Finding natural extensions of these correspondences has been a motivating goal of enumerative combinatorics for several decades. This talk will focus on two well studied classes of transcendental functions: the differentiably finite and differentially algebraic.