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UID:20261007T021720EDT-9805owPrUU@132.216.98.100
DTSTAMP:20261007T061720Z
DESCRIPTION:✒️ TITRE / TITLE\n\nQuantum Fields\, Gravity\, and Mathematics
 \n	\n	📄 RÉSUMÉ / ABSTRACT\n\nI will describe recent progress on the our unde
 rstanding quantum field theory and quantum gravity. In particular\, I will
  review the theoretical evidence that classical space-time geometry emerge
 s from the entanglement of more fundamental quantum mechanical degrees of 
 freedom\, and that -- in a sense -- space-time *is* entanglement. This has
  led to the idea that Einstein’s theory of general relativity\, which desc
 ribes the fluctuating geometry of space-time\, is a chaotic quantum mechan
 ical system much like a random matrix theory. In making this precise\, we 
 will discover some interesting mathematics. For example\, the Siegel-Weil 
 formula of number theory allows us to interpret the average over a space o
 f quantum mechanical systems as a the sum over hyperbolic three-manifolds 
 (essentially\, states of a black hole) in quantum gravity. This comes from
  an analogy - and in some cases an equivalence - between general relativit
 y and the theory of random lattices (or sphere packings) in high dimension
 . Similarly\, the Hawking’s famous formula for the entropy of a black hole
  leads to a new conjecture for the number of holomorphic sections of line 
 bundles over the moduli space of Riemann surfaces. This talk is intended t
 o be accessible to mathematicians without a specialized physics background
 .\n\n\n	\n		\n			\n				Lien ZOOM Link\n			\n		\n	\n\n
DTSTART:20251010T193000Z
DTEND:20251010T203000Z
SUMMARY:Alex Maloney (McGill University)
URL:https://www.mcgill.ca/mathstat/channels/event/alex-maloney-mcgill-unive
 rsity-368192
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