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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
 M3//EN
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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20250523T152427Z
DTSTART:20250528T140000Z
DTEND:20250528T150000Z
SUMMARY:Logic seminar: David Evans
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}g1nj-m70zc9
 ij-39dhyu
DESCRIPTION:Title: Permutation modules for omega-categorical structures.\
 n\nAbstract: Suppose F is a field and W is a countable\, omega-categoric
 al structure with automorphism group G. Consider the F-vector space K = 
 FW with basis W and G-action permuting W (extended linearly). We are int
 erested in the following questions.\n\n1) Does K have the ascending chai
 n condition on G-invariant subspaces?\n\n2) If F is finite and W is homo
 geneous in a finite relational language\, does K have only finitely many
  G-invariant subspaces?\n\nA negative answer to (2) would give a negativ
 e answer to: a question of Dugald Macpherson on closed normal subgroups 
 of automorphism groups of finitely homogeneous structures\, and a conjec
 ture of Simon Thomas on reducts.\n\nI will talk about some further conte
 xt and older work on these questions and some ongoing recent work on (2)
  in the case where W is a Ramsey structure (that is\, G is extremely ame
 nable). 
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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