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SUMMARY:What is... Geometric Algebra? - Filip Bár (visitor)
DTSTART:20111027T133000Z
DTEND:20111027T153000Z
UID:TALK34339@talks.cam.ac.uk
CONTACT:Guilherme Lima de Carvalho e Silva
DESCRIPTION:Geometric algebra is a mathematical field which roots go back 
 to Leibniz's "Geometrische Analyse" and which is concerned with algebraizi
 ng geometry in such a way as to keep the prospects of synthetic and analyt
 ic reasoning.\n\nIt was developed mainly in the 19th century and its found
 ations foremost by Grassmann with his theory of linear extension. Many oth
 er types of algebras like various quaternionic algebras and more generally
  Clifford algebras stem from geometric algebra\, too. Although many of tho
 se particular algebras are still prominent\, the field of geometric algebr
 a itself has been nearly completely forgotten in the 20th century.\n\nMy t
 hesis is concerned with the foundations of geometric algebras of affine sp
 ace. The central question is thereby "What is a geometric algebra of an af
 fine space?".\n\nOne of the main goals is thus to understand which categor
 ies of algebras are natural candidates for geometric algebras of an affine
  space to live in.
LOCATION:MR03
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