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CATEGORIES:Junior Category Theory Seminar
SUMMARY:What is... Geometric Algebra? - Filip Bár (visitor
)
DTSTART;TZID=Europe/London:20111027T143000
DTEND;TZID=Europe/London:20111027T163000
UID:TALK34339AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/34339
DESCRIPTION:Geometric algebra is a mathematical field which ro
ots go back to Leibniz's "Geometrische Analyse" an
d which is concerned with algebraizing geometry in
such a way as to keep the prospects of synthetic
and analytic reasoning.\n\nIt was developed mainly
in the 19th century and its foundations foremost
by Grassmann with his theory of linear extension.
Many other types of algebras like various quaterni
onic algebras and more generally Clifford algebras
stem from geometric algebra\, too. Although many
of those particular algebras are still prominent\,
the field of geometric algebra itself has been ne
arly completely forgotten in the 20th century.\n\n
My thesis is concerned with the foundations of geo
metric algebras of affine space. The central quest
ion is thereby "What is a geometric algebra of an
affine space?".\n\nOne of the main goals is thus t
o understand which categories of algebras are natu
ral candidates for geometric algebras of an affine
space to live in.
LOCATION:MR03
CONTACT:Guilherme Lima de Carvalho e Silva
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