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SUMMARY:Baptiste Cerclé (Université Paris Nord)
DTSTART:20200427T133000Z
DTEND:20200427T140000Z
DTSTAMP:20260423T021124Z
UID:LPDD/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LPDD/2/">Lio
 uville Conformal Field Theory (in higher dimensions)</a>\nby Baptiste Cerc
 lé (Université Paris Nord) as part of Les probabilités de demain webina
 r\n\n\nAbstract\nProviding a rigorous definition to the two-dimensional Li
 ouville Quantum\nGravity as introduced by Polyakov in his 1981 seminal wor
 k has been a\nchallenging problem over the last few years. In this fundame
 ntal article\nis introduced a canonical way of picking at random a geometr
 y on a\nsurface with fixed topology\, using a generalised path integral ap
 proach\ninvolving the Liouville functional. The mathematical interpretatio
 n of\nthis formalism is now rather well understood\, thanks to the introdu
 ction\nof a probabilistic framework involving two fundamental objects : th
 e\nGaussian Multiplicative Chaos and log-correlated fields. During this\nt
 alk I will try to introduce this topic\, and if time permits\, present\nso
 me recent developments in the higher-dimensional theory.\n
LOCATION:https://researchseminars.org/talk/LPDD/2/
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