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BEGIN:VEVENT
DTSTAMP:20261027T124330Z
DTSTART:20261027T140000Z
DTEND:20261027T150000Z
SUMMARY:Heilbronn Algebra Seminar - Adam Jones
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}wep-mvqlr7j
 b-zee44w
DESCRIPTION:Title: Unique factorisation in power series rings\n\nAbstract
 : Let R be a unique factorisation domain (UFD). It is well known that th
 e polynomial ring R[X] is also a UFD\, but the same does not apply to th
 e power series ring R[[X]]. In 1961\, Samuel constructed a Noetherian UF
 D R such that R[[X]] does not satisfy unique factorisation\, prompting t
 he question\, when can R[[X]] be proved to be a UFD? It was conjectured 
 by Landweber in 1974 that this is true if R is the ring of polynomials i
 n 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 co
 njecture\, realising it as a corollary to a more general theorem about a
 pproximation of factorisations in R[[X]]. This work is joint with Elad P
 aran.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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