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Algebraic Geometry Colloquium: The ring of invariants of n points on the projective line
Fri, February 6, 2009 2:00PM - 3:00PM
Time:2:00PM - 3:00PM
Location:Simons Auditorium
Speakers:Ravi Vakil, Dr. Ravi Vakil
Abstract:The ring of invariants of n points on the projective line - The GIT quotient of a small number of points on the projective line has long been known to have beautiful geometry. For example, the case of six points is intimately connected to the outer automorphism of S_6. We extend this picture to an arbitrary number of points, completely describing the equations of the moduli space. (In some sense there is only one equation.) The case of eight points is particularly entertaining. This is joint work with Ben Howard, John Millson, and Andrew Snowden.