Seminari: G. Faraco e T. Sferruzza

Realization problem of absolute period representations / Special structures in complex geometry

Mercoledì 19 giugno, dalle ore 14:00 in Aula 2109 (2° Piano) - Edificio U5, Gianluca Faraco (Università degli Studi di Milano-Bicocca) e Tommaso Sferruzza (Università degli Studi dell'Insubria) terranno i seguenti seminari

Relatore: Gianluca Faraco

Titolo: Realization problem of absolute period representations

Abstract: A translation surface is the datum of an abelian differential on a Riemann surface. Every such pair determines a representation called absolute period representation or period character. In this talk we discuss the realization of a given representation as the period character of some translation surface.

Relatore: Tommaso Sferruzza

Titolo: Special structures in complex geometry

Abstract: One of the main goals in complex geometry is to find a canonical notion of Hermitian metrics. For instance, Kähler metrics, i.e., Hermitian metrics whose fundamental form is closed, represent a very special class on compact complex manifolds: despite satisfying remarkable properties, their existence imposes several restrictions on the topology of the underlying manifold. As a result, starting from the 80's, much attention has been devoted to the study of candidate canonical structures which generalize the Kähler condition. In this seminar, I would like to give a brief introduction to some of such special structures and present some of their existence problems on compact complex manifolds.

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