Logic seminar: Adele Padgett (McMaster University)
| Dates: | 17 May 2023 |
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| Times: | 15:15 - 16:15 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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Title: Existential closedness for analytic solutions of difference equations
Abstract: The existential closedness problem for a function f is to show that a system of complex polynomials in 2n variables always has solutions in the graph of f, except when there is some geometric obstruction. Special cases have be proven for exp, Weierstrass p functions, the Klein j function, and other important functions in arithmetic geometry using a variety of techniques. Recently, some special cases have been proven for well-known solutions of difference equations, like the zeta and Gamma functions. I will show how the methods developed for exp can be used to expand on these results.
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Frank Adams 1 (and zoom, link in email)
Alan Turing Building
Manchester
