David Broadhurst, Open University, UK

Abstract

In combinatorics, we happily manipulate formal power series, taking no heed of whether they might converge. Applied mathematicians encounter series with no radius of convergence, about which they worry. Jean Ecalle mediates between these communities, by telling us about resurgent trans-series. I shall give an account of how an integer sequence from a problem in physics exhibits resurgence.

Link to video: https://vimeo.com/1054325156?share=copy

Presented Via Zoom: https://rutgers.zoom.us/j/91865817691

Password: 6564120420

For further information see: https://sites.math.rutgers.edu/~zeilberg/expmath/