Heilbronn Algebra Seminar - Adam Jones
| Dates: | 27 October 2026 |
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| Times: | 14:00 - 15:00 |
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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: | Adam Jones |
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Title: Unique factorisation in power series rings
Abstract: Let R be a unique factorisation domain (UFD). It is well known that the polynomial ring RX is also a UFD, but the same does not apply to the power series ring RX. In 1961, Samuel constructed a Noetherian UFD R such that RX does not satisfy unique factorisation, prompting the question, when can RX be proved to be a UFD? It was conjectured by Landweber in 1974 that this is true if R is the ring of polynomials in infinitely many variables, but he could only prove a graded version. In this talk, I will outline our new and completed proof of the full conjecture, realising it as a corollary to a more general theorem about approximation of factorisations in RX. This work is joint with Elad Paran.
Speaker
Adam Jones
Organisation: University of Cambridge
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Frank Adams 1
Alan Turing Building
Manchester
