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SUMMARY:Skew power series rings - William Woods\, University of Essex
DTSTART:20231129T163000Z
DTEND:20231129T173000Z
UID:TALK207997@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:Skew polynomial (Ore) extension is a classical construction se
 nding a ring R to a deformed polynomial ring R[x\; σ\, δ]. This construc
 tion encompasses many very natural rings of interest\, including group alg
 ebras of polycyclic groups\, universal enveloping algebras of soluble Lie 
 algebras and many quantum algebras\, and in most cases of interest they ar
 e well studied and well understood. By contrast\, skew power series extens
 ions R[[x\; σ\, δ]] are much more modern and more poorly understood obje
 cts\, not least because there are multiple competing contexts in which the
 y can be studied. I will give a brief overview of the current state of our
  knowledge in these various contexts\, before specialising to the case rel
 evant to Iwasawa algebras (completed group rings of certain profinite grou
 ps) and describing my ongoing work in this area. Much of this work is join
 t with Adam Jones.
LOCATION:MR12
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