## – Europe/Lisbon — Online

Éveline Legendre, Université Paul Sabatier

Localizing the Donaldson-Futaki invariant

We will see how to represent the Donaldson-Futaki invariant as an intersection of equivariant closed forms. We will use it to express this invariant as the intersection on some specific subvarieties of the central fibre of the test configuration. As an application we provide a proof that for Kähler orbifolds the Donaldson-Futaki invariant is the Futaki invariant of the central fiber.

### Video

### Additional file

Projecto FCT `UIDB/04459/2020`.