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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Curvature. Between geometry and art - RĂ©mi Coulon
(CNRS (Centre national de la recherche scientifiqu
e))
DTSTART;TZID=Europe/London:20240404T113000
DTEND;TZID=Europe/London:20240404T122000
UID:TALK213796AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/213796
DESCRIPTION:Classical mechanics can be formalized using Euclid
ean geometry (the one we learn at school\, with Py
thagorean's theorem\, similar triangles\, etc). In
such a world light travels along straight lines a
s these paths are the one minimizing their travel
time. Since the 19th century mathematicians have c
reated and studied new geometrical "worlds" where
the axioms of Euclidean geometry no longer hold. T
hese geometries have been a source of inspiration
for some artists such as M. C. Escher\, who drew r
emarkable pictures of the hyperbolic space in two
dimensions. Using the power of modern computers\,
one can now simulate what it would be to live an a
non-Euclidean three-dimensional space. In such a
world light rays may bend\, thus changing our larg
e-scale perception of the surrounding space. The t
alk will be a journey in these non-Euclidean geome
tries.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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