University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Geodesics between algebraic models via Berkovich geometry

Geodesics between algebraic models via Berkovich geometry

Add to your list(s) Download to your calendar using vCal

  • UserRémi Reboulet, University of Cambridge
  • ClockWednesday 25 May 2022, 14:15-15:15
  • HouseCMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

To a projective variety over a non-Archimedean field, one can associate a topological space, its Berkovich analytification Xan, which nicely and compactly organizes the data of models (or degenerations) of X. More generally, if L is for example an ample line bundle on X, one can encode a degeneration of (X,L) as a metric on the Berkovich line bundle L^an. In this talk I explain some basics of Berkovich geometry, and how one can do geometric analysis in such spaces of degenerations, for example by giving them metric structures and constructing geodesic segments.

This talk is part of the Algebraic Geometry Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2022 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity