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SUMMARY:Bridges Between Flat and Hyperbolic Enumerative Geometry
DTSTART;VALUE=DATE-TIME:20190611T123000Z
DTEND;VALUE=DATE-TIME:20190611T134500Z
DTSTAMP;VALUE=DATE-TIME:20190619T035400Z
UID:indico-event-4731@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anton Zorich (IMJ-PRG)\nI will give a formula for th
e Masur-Veech volume of the moduli space of quadratic differentials in ter
ms of psi-classes (in the spirit of Mirzakhani's formula for the Weil-Pete
rson volume of the moduli space of hyperbolic surfaces). I will also show
that Mirzakhani's frequencies of simple closed hyperbolic geodesics of dif
ferent combinatorial types coincide with the frequencies of the correspond
ing square-tiled surfaces. I will conclude with a (mostly conjectural) des
cription of the geometry of a "random" square-tiled surface of large genus
and of a "random" multicurve on a topological surface of large genus.\n\n
The talk is based on joint work in progress with V. Delecroix\, E. Goujard
and P. Zograf. It is aimed at a broad audience\, so I will try to include
all necessary background.\nhttps://indico.math.cnrs.fr/event/4731/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/4731/
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BEGIN:VEVENT
SUMMARY:Geometrization of Certain 4-Dimensional Groups
DTSTART;VALUE=DATE-TIME:20190611T143000Z
DTEND;VALUE=DATE-TIME:20190611T154500Z
DTSTAMP;VALUE=DATE-TIME:20190619T035400Z
UID:indico-event-4732@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ludovic Marquis (Université de Rennes I)\n\n We con
sider discrete groups admitting proper cocompact topological actions by ho
meomorphisms on $R^4$. We will say that such a group Γ is geometrized if
we can build an action of Γ by projective transformations on a properly c
onvex open subset of the real projective 4-space\, or a convex cocompact a
ction of Γ on the real hyperbolic 5-space or on its Lorentzian counterpar
t\, the anti-de Sitter 5-space.\n \n Certain uniform lattices of the isome
try group of hyperbolic 4-space are geometrizable by the three geometries
mentioned above. We will discuss the existence of groups which are not uni
form lattices in hyperbolic 4-space\, and which yet admit several of these
three geometries. If time allows\, we will also discuss the corresponding
deformation spaces.\n \n This is joint work with Gye-Seon Lee (Heidelberg
).\n\nhttps://indico.math.cnrs.fr/event/4732/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/4732/
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