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SUMMARY:James Sully (University of British Colombia)
DTSTART:20211102T193000Z
DTEND:20211102T204500Z
DTSTAMP:20260423T024549Z
UID:HET/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/18/">Inn
 er Turmoil: Complexity\, Chaos\, and the Black Hole Interior</a>\nby James
  Sully (University of British Colombia) as part of Purdue HET\n\n\nAbstrac
 t\nI will describe a precise and computationally tractable notion of opera
 tor complexity in quantum theories. In holographic theories\, this refined
  version of K-complexity exhibits exponential growth for a scrambling time
 \, followed by linear growth until saturation at a time exponential in the
  entropy—a behavior that is characteristic of chaos. I will explain how 
 the linear growth regime implies a universal random matrix description of 
 the operator dynamics after scrambling. Our main tool for establishing thi
 s connection is a “complexity renormalization group” where we integrat
 e out large K-complexities. Finally\, I will discuss a connection between 
 the universal random matrix theory dynamics of operator growth after scram
 bling and the geometry of smooth black hole interiors.\n
LOCATION:https://researchseminars.org/talk/HET/18/
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