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UID:20250730T214252EDT-1729fabISG@132.216.98.100
DTSTAMP:20250731T014252Z
DESCRIPTION:Title: The Siegel-Weil Formula and Quantum Gravity as an Averag
 e.\n\nAbstract: I will explore the idea that certain theories of gravity a
 re not traditional quantum theories\, but are instead averages over ensemb
 les of quantum theories.  Remarkably\, this idea can be explored quantitat
 ively using ideas from number theory.  I will consider the average over fr
 ee boson conformal field theories in two dimensions\, and compute the genu
 s g partition function using the Siegel-Weil formula.  The result is a rea
 l analytic Eisenstein series which can be interpreted as the sum over geom
 etries in a certain exotic - but in a sense exactly solvable - theory of q
 uantum gravity.  The techniques used are similar to those used to study hi
 gh dimensional sphere packing by averaging over spaces of lattices\, sugge
 sting an analogy between semi-classical gravity and a theory of random lat
 tices (or sphere packings) in high dimensions.  This talk is a review of w
 ork done in collaboration with E. Witten\, and is intended to be accessibl
 e to mathematicians without a specialized physics background. \n\n \n\nPle
 ase fill in this form: https://forms.gle/S1NcNQ8BxkzfAXcj9\n
DTSTART:20210928T193000Z
DTEND:20210928T203000Z
SUMMARY:Alex Maloney (ɬÀï·¬)
URL:/mathstat/channels/event/alex-maloney-mcgill-unive
 rsity-333652
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