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SUMMARY:Quantum black holes: a macroscopic window into quantum gravity  - 
 Sameer Murthy\, King's College London
DTSTART:20180425T131500Z
DTEND:20180425T141500Z
UID:TALK103444@talks.cam.ac.uk
CONTACT:David Marsh
DESCRIPTION:The pioneering work of Bekenstein and Hawking in the 70s showe
 d that black holes have a thermodynamic behavior. They produced a universa
 l area law for black hole entropy valid in the limit that the black hole i
 s infinitely large. Quantum effects induce finite-size corrections to this
  formula\, thus providing a window into the fundamental microscopic theory
  of gravity and its deviations from classical general relativity. In this 
 talk I will discuss recent advances in high-precision computations of quan
 tum black hole entropy in supersymmetric theories of gravity\, using new l
 ocalization techniques. These calculations allow us to test the suggestion
  that black holes are really ensembles of microscopic states in a very det
 ailed manner\, much beyond the semi-classical limit. \n\nI will then discu
 ss how one can independently verify these calculations using explicit mode
 ls of microscopic ensembles for black holes in string theory constructed i
 n the 90s. These investigations throw up a surprising link to number theor
 y and the so-called Mock modular forms of Ramanujan. I will end by sketchi
 ng some research directions that these ideas lead to. 
LOCATION:MR2\, Centre for Mathematical Sciences
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