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SUMMARY:Resonant spaces for volume preserving Anosov flows - Gabriel Pater
 nain\, Cambridge
DTSTART:20200205T160000Z
DTEND:20200205T170000Z
UID:TALK134746@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Recently Dyatlov and Zworski proved that the order of\nvanishi
 ng of the Ruelle zeta function at zero\, for the geodesic flow\nof a negat
 ively curved surface\, is equal to minus the Euler\ncharacteristic of the 
 surface. They more generally considered contact\nAnosov flows on 3-manifol
 ds. In this talk\, I will discuss how this\nresult needs to be modified to
  include all volume-preserving Anosov\nflows. Several new features will ap
 pear\, like the winding cycle and\nthe helicity of the flow.\nA key questi
 on is the (non-)existence of Jordan blocks for one forms\n(semi-simplicity
 ) and I will discuss examples where Jordan blocks do\nappear\, as well as 
 describe a resonance splitting phenomenon near\ncontact flows when we defo
 rm with non-zero winding cycle. This is\njoint work with Mihajlo Cekic.
LOCATION:MR13
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