Giovedì 17 Ottobre dalle ore 14:00 in Aula 2109 (2° Piano) - Edificio U5, Riccardo Moschetti e Riccardo Piovani (Università degli Studi di Torino) terranno i seguenti seminari
Relatore: Riccardo Moschetti
Titolo: Conical linear series
Abstract: Cones over projective varieties are a very versatile and powerful tool in algebraic geometry. I will talk about a joint work with Pietro Pirola and Lidia Stoppino, in which we develop a theory of "conic linear series", where we will use certain limits of cones to construct divisors on curves in P^3. I will talk about one possible application of this theory to the construction of certain pencils of planar curves.
Relatore: Riccardo Piovani
Titolo: Towards L^2 Hodge theory on non compact complex manifolds
Abstract: L^2 Hodge theory has been mainly developed for elliptic complexes of first order differential operators such as the de Rham or the Dolbeault complexes. This excludes the complex associated to Aeppli and Bott-Chern cohomologies, which are useful invariants of non Kähler compact complex manifolds, since this complex has a differential of order two. In this seminar we will explore the path towards the establishment of a L^2 Hodge theory associated with this last complex on non compact complex manifolds.
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