BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:8504@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250327T110000
DTEND;TZID=Europe/Paris:20250327T120000
DTSTAMP:20250320T091150Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-184/
SUMMARY:Pierre Godfard (IMJ-PRG): Hodge structures on conformal blocks
DESCRIPTION:Pierre Godfard: Modular functors are families of finite-dimensi
 onal representations of Mapping Class Groups of surfaces\, with strong com
 patibility conditions. As Mapping Class Groups of surfaces are isomorphic 
 to fundamental groups of moduli spaces of curves\, modular functors can al
 ternatively be seen as families of vector bundles with flat connection on 
 (twisted) moduli spaces of curves\, with strong compatibility conditions w
 ith respect to some natural maps between the moduli spaces.\n\nIn this tal
 k\, we will discuss Hodge structures on such flat bundles. If these flat b
 undles where rigid\, a result of Simpson in non-Abelian Hodge theory would
  imply that they support Hodge structures. However\, that is not the case 
 in general. We will explain how a different kind of rigidity for modular f
 unctors can be used to prove an existence and uniqueness result for such H
 odge structures. Finally\, we will discuss the computation of Hodge number
 s for $sl_2$ modular functors (of odd level) and how these numbers are par
 t of a cohomological field theory (CohFT)
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:STANDARD
DTSTART:20241027T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
END:STANDARD
END:VTIMEZONE
END:VCALENDAR