[CvGmt News] seminario Esposito 4/12

[Daniele Castorina]

Carissimi,

vi segnalo il prossimo seminario di Eq. Diff. a Tor Vergata:


        Martedi' 4 Dicembre 2012, h 14:30 Aula D' Antoni


        Pierpaolo Esposito (Università di Roma Tre)


        The effect of linear perturbations on the Yamabe problem


        In conformal geometry, the Compactness Conjecture asserts that
        the set of Yamabe metrics on a smooth, compact, spherical
        Riemannian manifold (M,g) is compact. Established in the locally
        conformally flat case and for $n\leq 24$, it has revealed to be
        generally false for $n\geq 25$. A stronger version of it, i.e.
        the compactness under perturbations of the Yamabe equation, is
        addressed with respect to the linear geometric potential. We
        show that a-priori $L^\infty$--bounds or $H_1^2$--bounds fail in
        a very general way under linear perturbations, and the results
        are essentially optimal. Joint work with A. Pistoia and J. Vetois.


Accorrete numerosi. Buon lavoro e a presto

-- 
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: castorin at mat.uniroma2.it
tel: +390672594653

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