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UID:6067@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220429T110000
DTEND;TZID=Europe/Paris:20220429T123000
DTSTAMP:20241120T200906Z
URL:https://www.i2m.univ-amu.fr/evenements/rational-elliptic-surfaces-and-
 trigonometry-of-non-euclidean-tetrahedra/
SUMMARY:Daniil RUDENKO (University of Chicago): Rational Elliptic Surfaces 
 and Trigonometry of Non-Euclidean Tetrahedra
DESCRIPTION:Daniil RUDENKO: I will explain how to construct a rational elli
 ptic surface out of every non-Euclidean tetrahedra. This surface "remember
 s" the trigonometry of the tetrahedron: the length of edges\, dihedral ang
 les and the volume can be naturally computed in terms of the surface. The 
 main property of this construction is self-duality: the surfaces obtained 
 from the tetrahedron and its dual coincide. This leads to some unexpected 
 relations between angles and edges of the tetrahedron. For instance\, the 
 cross-ratio of the exponents of the spherical angles coincides with the cr
 oss-ratio of the exponents of the perimeters of its faces. The constructio
 n is based on relating mixed Hodge structures\, associated to the tetrahed
 ron and the corresponding surface.\n[su_spacer size="10"]Zoom: https://uni
 v-amu-fr.zoom.us/j/82958351649?pwd=anBjWUM5enJpMVZFTTl1UEFyTlVzZz09\n\nMee
 ting ID: 829 5835 1649\nPasscode: see email\n\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/02/Daniil_Rudenko.jpg
CATEGORIES:Séminaire,Hybrid,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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