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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Resonant spaces for volume preserving Anosov flows
- Gabriel Paternain\, Cambridge
DTSTART;TZID=Europe/London:20200205T160000
DTEND;TZID=Europe/London:20200205T170000
UID:TALK134746AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/134746
DESCRIPTION:Recently Dyatlov and Zworski proved that the order
of\nvanishing of the Ruelle zeta function at zero
\, for the geodesic flow\nof a negatively curved s
urface\, is equal to minus the Euler\ncharacterist
ic of the surface. They more generally considered
contact\nAnosov flows on 3-manifolds. In this talk
\, I will discuss how this\nresult needs to be mod
ified to include all volume-preserving Anosov\nflo
ws. Several new features will appear\, like the wi
nding cycle and\nthe helicity of the flow.\nA key
question is the (non-)existence of Jordan blocks f
or 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 deform with non-zero windi
ng cycle. This is\njoint work with Mihajlo Cekic.
LOCATION:MR13
CONTACT:Oscar Randal-Williams
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