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SUMMARY:A homological approach to global hyperbolicity in higher signature
DTSTART:20261113T123000Z
DTEND:20261113T133000Z
DTSTAMP:20261113T053000Z
UID:indico-event-17700@indico.math.cnrs.fr
DESCRIPTION:Speakers: Roméo Troubat (IHES)\n\nA pseudo-riemannian manifol
 d of signature (p\,q) is a smooth manifold of dimension p+q endowed with a
  smooth metric g of signature (p\,q). The case q=1\, called Lorentzian geo
 metry\, has been studied extensively as it is used in the mathematical the
 ory for general relativity. One of the conditions usually required for a m
 anifold to be a reasonable model for a spacetime is global hyperbolicity. 
 In particular\, globally hyperbolic spacetimes are always homeomorphic to 
 a product S x R where any inextendible non-positive curve is the graph of 
 a map from R to S. Because R is the only connected simply connected one di
 mensional manifold\, global hyperbolicity has a simplicity to its definiti
 ons which is difficult to reproduce in the case q>1\, where the topology o
 f the negative part plays a bigger role.\n \nIn this talk\, we will discu
 ss two ways to generalize global hyperbolicity in higher signature\, one s
 tronger than the other. To this end\, we will introduce a new homological 
 theory suited to the study of pseudo-riemannian spaces and we will use it 
 to reformulate global hyperbolicity using intersection theory.\n\nhttps://
 indico.math.cnrs.fr/event/17700/
LOCATION:1180 (Bât. E2) (Tours)
URL:https://indico.math.cnrs.fr/event/17700/
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