Canonical filtrations of coordinate rings of varieties with non-reductive automorphism group

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• Ruadhai Dervan
• Friday 07 November 2014, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Julian Brough.

To each filtration of the coordinate ring of a variety one can associate a certain weight. K-stability means that for each filtration this weight is positive, and K-instability has important geometric consequences. Given a variety with non-reductive automorphism group we construct a canonical filtration of its coordinate ring. We show that the corresponding weight is negative in several examples, and conjecture this holds in general. Little to no knowledge of algebraic geometry will be assumed for this talk. This is joint work with Giulio Codogni.

This talk is part of the Junior Algebra and Number Theory seminar series.

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