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Geometric invariant theory for graded unipotent group actions and applications

Presented by: 
F Kirwan University of Oxford
Date: 
Monday 20th July 2015 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 
Mumford's geometric invariant theory (GIT) provides a method for constructing (projective completions of) quotient varieties for linear actions of complex reductive groups on affine and projective varieties, and has many applications (for example in the construction of moduli spaces in algebraic geometry). Mumford's GIT can be extended to actions of linear algebraic groups which are not necessarily reductive, but many of the nice properties belonging to reductive GIT no longer hold for non-reductive actions. The aim of this talk is to describe conditions under which these properties still hold for suitable non-reductive actions, and to discuss some applications
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons