Fomenko

Title: Grothendieck’s construction of Chern classes

Speaker: Martin Ortiz

Abstract: There are many settings and ways in which one can define Chern classes, in this talk I will present an axiomatic construction by Grothendieck which is particularly simple: it suffices to construct Chern classes for line bundles. The advantages of this construction is that it gives 3 simple properties that characterize Chern classes, hence makes it easier to compare the different constructions; and that it works both for smooth complex varieties and complex manifolds. The talk will be self contained, but being familiar with the line bundle-divisor correspondence in algebraic geometry will be useful (see e.g. Section 1.1 in Principles of Algebraic Geometry by Griffiths and Harris). 

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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