Torus actions on projective manifolds: Combinatorics vs Birational Geometry

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
Ore: 11:00

Relatrice:

• Eleonora Romano (University of Warsaw )

Abstract: In this talk we focus on one-dimensional torus actions on complex  smooth projective varieties of arbitrary dimension. On one hand, we introduce some combinatorics tools which we need in our situation, on the other hand we discuss how Birational Geometry takes his role. In particular, we review the classical adjunction theory from a new perspective given by the torus acting.  Moreover we see how this new approach allows to get some classification results for special varieties called of "small bandwidth". As an application of our results, we will conclude by putting them in the context of the classification of contact Fano varieties of high dimension. This talk is a joint work with G. Occhetta, L. Solà Conde and J. Wisniewski.

Referente: Claudio Fontanari