Stability conditions for varieties

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Event details

Date 30.06.2022 10:1511:45  
Speaker Ruadhai Dervan (University of Cambridge)
Location
Category Conferences - Seminars
Event Language English

Enormous progress in algebraic geometry has been achieved through linking with differential geometry and geometric analysis. A modern example of this is the "Yau-Tian-Donaldson conjecture", which relates the algebro-geometric notion of K-stability of a projective variety to the existence of solutions to a special PDE on the variety. In this setting, the PDE is the "constant scalar curvature equation", which can be thought of as giving the variety a canonical choice of metric. I will describe a general framework associating geometric PDEs on projective varieties to notions of algegbro-geometric stability, and will sketch a proof showing that existence of solutions is equivalent to stability in a model case. The framework can be seen as a loose analogue in the setting of varieties of Bridgeland's stability conditions.

Practical information

  • Informed public
  • Free

Organizer

  • Roberto Svaldi

Contact

  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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