Number Theory Seminar - Jessica Alessandri
Dates: | 29 April 2025 |
Times: | 15:00 - 16:00 |
What is it: | Seminar |
Organiser: | Department of Mathematics |
Who is it for: | University staff, External researchers, Current University students |
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Speaker: Jessica Alessandri (Bath)
Title: The Integral Hilbert Property on some degree-2 del Pezzo surfaces.
Abstract:
In this talk I will consider a Diophantine equation known also as "Fermat's near miss". Studying the existence and abundance of integral solutions of this kind of equations can be translated in studying the integral points on a degree-2 del Pezzo surface. Rational points on these surfaces have been widely studied, but results on integral points are still missing. I will present a joint work (in progress) with Dan Loughran, where we show that on this surface we have "many" (i.e. a dense set of) integral points.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester