A Clifford algebra approach

Schedule information
Event	A Clifford algebra approach
When	Friday, November 13, 2009
Where	St. Mary's Hall 326
Event details
Details	GEORGETOWN UNIVERSITY Department of Mathematics COLLOQUIUM A Clifford algebra approach to the projective and hyperbolic spaces Speaker: Professor Adam Koranyi Lehman College, City University of New York Friday, November 13 2009 3.15 p.m. St. Mary's 326 Abstract: There are four classical projective spaces, real, complex, quaternionic and octonionic. In each one the corresponding hyperbolic space is embedded in a natural way. The first three are easy to handle case-by-case but the fourth is very unpleasant because of the non-associativity of the octonions. In the talk, after giving some examples, a construction based on Clifford algebras will be sketched. This gives all the spaces without case-by-case computations and without the pain caused by octonions. Proofs of geometric properties also become quite easy. Refreshments will be served after the talk.
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Contact	Delores M. Osborne Administrative Assistant Department of Mathematics (202)687-6214
Sponsors	Department of Mathematics
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