Logic Seminar - Orla McGrath
| Dates: | 29 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: Orla McGrath (University of Leeds)
Title: Partial Difference Algebraic Groups
Abstract: A difference algebraic group is a subgroup of the general linear group defined by difference equations. Groups definable in ACFA (algebraically closed fields with an automorphism) have been widely studied, with applications including the proof of the Manin-Mumford conjecture. In contrast, partial difference fields do not admit a model companion, so instead we use an algebro-geometric approach to study groups defined over fields with finitely many commuting endomorphisms. In this talk I will introduce these partial difference algebraic groups and present some initial results, including the finiteness of their defining ideals and the existence of a dimension polynomial.
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Frank Adams 1
Alan Turing Building
Manchester
