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SUMMARY:Daniel Cristofaro-Gardiner (IAS Princeton\; University of Californ
 ia\, Santa Cruz)
DTSTART:20210310T121000Z
DTEND:20210310T133000Z
DTSTAMP:20260423T004911Z
UID:GDS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/25/">The
  subleading asymptotics of the ECH spectrum</a>\nby Daniel Cristofaro-Gard
 iner (IAS Princeton\; University of California\, Santa Cruz) as part of Ge
 ometry and Dynamics seminar\n\n\nAbstract\nEmbedded contact homology can b
 e used to associate a sequence of spectral \ninvariants\, called ECH spect
 ral invariants\, to any closed three-manifold \nwith a contact form.  In p
 revious joint work\, we proved a “Volume Property” \nthat recovers the
  volume of any such manifold from the asymptotics of its \nECH spectral in
 variants.  I will discuss recent work aimed at better \nunderstanding the 
 subleading asymptotics of this sequence.  The main \nsubject of my talk wi
 ll be a joint work with Nikhil Savale in which we \nprove a new bound on t
 he growth rate of the subleading asymptotics.  \nI will also briefly menti
 on a conjecture\, due to Hutchings\, concerning \nrecovering the “contac
 t Ruelle invariant” from the subleading asymptotics.\n
LOCATION:https://researchseminars.org/talk/GDS/25/
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