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DTSTART:20220313T070000
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DTSTART:20221106T060000
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DTSTART;TZID=America/Toronto:20230119T160000
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URL:https://uwaterloo.ca/pure-mathematics-analysis/events/k-theory-rational
 -function
SUMMARY:The K-theory of a rational function
CLASS:PUBLIC
DESCRIPTION:JEREMY HUME\, UNIVERSITY OF GLASGOW\n\nThe dynamics of iteratin
 g a rational function exhibits complicated and\ninteresting behaviour when
  restricted to points in its Julia set.\nKajiwara and Watatani constructed
  a C*-algebra from a rational\nfunction restricted to its Julia set in ord
 er to study its dynamics\nfrom an operator algebra perspective. They showe
 d the C*-algebras are\nKirchberg algebras that satisfy the UCT\, and are t
 herefore classified\nby K-theory. The K-theory groups of these algebras ha
 ve been computed\nin some special cases\, for instance by Nekrashevych in 
 the case of a\nhyperbolic and post-critically finite rational function. We
  compute\nthe K-theory groups for a general rational function using method
 s\ndifferent to those used before. In this talk\, we discuss our methods\n
 and results\, including new topological conjugacy invariants for a\nration
 al function restricted to its Julia set.\n\nThis seminar will be held both
  online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhttps://uwaterlo
 o.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260313T152542Z
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