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Experimental Mathematics Seminar

Resurgent integer sequences

David Broadhurst, Open University, UK

Location:  https://rutgers.zoom.us/j/94346444480 [password: The 20th Catalan number, alias (40)!/(20!*21!)
Date & time: Thursday, 06 February 2025 at 5:00PM - 6:00PM

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.