Manchester Number Theory Seminar - Sean Prendiville (Lancaster)
| Dates: | 28 April 2026 |
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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: Sean Prendiville (Lancaster)
Title: Regularity as an alternative to transference
Abstract: One way to approach certain number-theoretic problems involving sparse sets, such as the primes or squares, is to "model" these sets with dense sets of integers, then import results from the dense regime. This "transference principle" has been well-used in the last two decades, for instance in showing that relatively dense sets of primes contain three-term arithmetic progressions. We discuss the related method of "arithmetic regularity". We aim to make the case that regularity and transference are two sides of the same coin, but that regularity is more robust, and has the potential to yield results which are not amenable to transference.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
