Manchester Number Theory Seminar - Diana Mocanu
| Dates: | 7 November 2023 |
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| Times: | 15:00 - 16:00 |
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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, Current University students |
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Speaker: Diana Mocanu (Warwick)
Title: The modular approach for solving x^r+y^r=z^p
Abstract: Since Wiles’ famous proof of Fermat’s Last Theorem, number theorists extensively studied Diophantine equations using the modular approach. I will describe a variation of this method using (partial results about) modularity of elliptic curves over totally real fields, image of inertia comparison, and the study of certain S-unit equations. Then, we will see how to attack the equation x^r + y^r = z^p (fixed r, varying p) using the above method. If time permits, I will present a first step towards a generalized version of the modular approach, which uses higher dimensional analogues of Frey elliptic curves in order to find solutions to the same equation.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
