Notiziario Scientifico
Notiziario dei seminari di carattere matematico
a cura del Dipartimento di Matematica G. Castelnuovo
Sapienza Università di Roma
Settimana dal 2 all'8 luglio 2018
Lunedì 2 luglio 2018
Ore 10:00, aula riunioni (primo piano), IAC-CNR, via dei Taurini 19
minicorso
Irene Gijbels (University of Leuven)
Regularization, penalization techniques and local modelling
Lunedì 02/07/2018 ore 10:00-13:00
Martedì 03/07/2018 ore 9:00-12:00
Mercoledì 04/07/2018 ore 9:00-11:00
Giovedì 05/07/2018 ore 9:00-11:00
Martedì 3 luglio 2018
Ore 15:00, aula 211, Università di Roma Tre,
largo san Leonardo Murialdo 1
seminario di Analisi Matematica
Marcello Lucia (The City University of New York)
A rigidity theorem for an overdetermined problem
On a bounded simply connected domain of RN, consider the
Laplacian eigenvalue problem with overdetermined boundary conditions,
where both constant Dirichlet and zero Neumann boundary are
prescribed. This overdetermined problem admits a solution for instance
in a disc, as can be seen by considering Neumann radial
eigenfunctions. A conjecture due to Schiffer states that the ball is
in fact the only possible domain where such problem can be solved. In
dimension three, this rigidity theorem has recently been obtained by
Ramm, but remains open in other dimensions. In this talk we will
discuss this type of overdetermined condition in dimension two for a
general semilinear problem. We show that a rigidity theorem holds if
in addition some higher normal derivatives are constant along the
boundary. This is a joint work with Bernd Kawohl (University of
Cologne).
Mercoledì 4 luglio 2018
Ore 14:00, aula di Consiglio
seminario di Algebra e Geometria
Henri Guenancia (CNRS & IMT)
Polystability of the tangent sheaf of singular varieties and applications
If X is a compact Kähler manifold, then the existence of a Kähler-Einstein metric on X
yields a lot of interesting properties for the tangent bundle TX, among which stability,
Chern numbers inequalities or vanishing/parallelism of holomorphic tensors. I will explain how to
generalize these results to singular varieties in a suitable sense.
This relies partially on joint works with B. Taji and D. Greb & S. Kebekus.
Giovedì 5 luglio 2018
Ore 14:30, aula 211, Università di Roma Tre,
largo san Leonardo Murialdo 1
seminario di Geometria
Fabio Tanturri (Université de Lille)
Orbital degeneracy loci
In a joint project with Vladimiro Benedetti, Sara Angela Filippini, and Laurent Manivel, we
introduce a new class of varieties, called orbital degeneracy loci. They are modelled on any
orbit closure in a representation of an algebraic group and generalize classical degeneracy
loci of morphisms between vector bundles or zero loci of sections. In this talk I will introduce
some tools to understand and study this new class of objects; with such techniques, we can exploit
our construction to produce several interesting examples of projective varieties, in particular
varieties with trivial or negative canonical bundle.
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seminari@mat.uniroma1.it
entro le ore 24 del giovedì precedente la settimana interessata.
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