K3

Title: The Kodaira Embedding Theorem

Speaker: Mads Christensen

Abstract: The aim of this talk is to explain the statement of the Kodaira embedding theorem, which says that a line bundle on a compact complex manifold is ample if and only if it is positive. This is a beautiful result with ties to both complex and algebraic geometry, and it has many applications such as showing that compact Riemann surfaces are projective varieties or classifying abelian varieties amongst complex tori.
I will attempt to make the talk as accessible as possible. Ideal prerequisites would be to be familiar with line bundles and Dolbeault operators (see e.g. Section 0.2 in Principles of Algebraic Geometry by Griffiths and Harris), but I will try to also give a quick intuitive explanation of these things. My hope is that everyone is able to learn something.

Some snacks will be provided before and after the talk.

This talk will be broadcasted via Zoom. Subscribe to the mailing list or contact organisers to get the Zoom details.

Junior Geometry Seminar
A weekly seminar run during term times on Fridays from 5:30–6:30pm. Most of the speakers and the audience are LSGNT students interested in geometry (algebraic, arithmetic, differential, metric, symplectic, you name it), though we plan to invite speakers from outside London in Terms 2 and 3 and everyone is welcome to join! 
The talks at the Seminar are meant to be accessible to all PhD students. We remind the speakers to assume as little prerequisites as possible and provide as much background as needed. We also encourage participants to ask questions whenever they feel like it — if you are confused, then chances are you are not alone, but everyone is too shy to ask. 
London School of Geometry and Number Theory

A joint venture of Imperial College, King’s College London and University College London with funding from EPSRC as an EPSRC Centre for Doctoral Training. See more about the LSGNT

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