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SUMMARY:Antony Speranza (UIUC)
DTSTART:20221115T203000Z
DTEND:20221115T213000Z
DTSTAMP:20260423T005650Z
UID:HET/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/40/">Com
 plexity = (Anything)^2</a>\nby Antony Speranza (UIUC) as part of Purdue HE
 T\n\nLecture held in Room 242\, Department of Physics and Astronomy\, Purd
 ue University.\n\nAbstract\nI will describe an infinite class of gravitati
 onal observables that can serve as measures of holographic complexity.  Th
 ese observables are constructed relationally by extremizing a surface with
  respect to one functional\, and evaluating a second functional on that su
 rface.  We show that classical Poisson brackets of these observables can b
 e computed via the Peierls construction\, and demonstrate that the extrema
 lity conditions follow naturally from diffeomorphism invariance.  A wide c
 lass of these observables can be shown to exhibit universal properties of 
 complexity measures\, including linear growth at late times in thermal sta
 tes and the switchback effect.  By taking distinct limits\, specific obser
 vables can be shown to reduce to the standard holographic complexity measu
 res such as volume or action.\n
LOCATION:https://researchseminars.org/talk/HET/40/
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