[CvGmt News] avviso seminario di Matematica prof.ssa Monica Musso (2.12.2015)

[Valeria Giuliani]

SEMINARIO DI MATEMATICA

Mercoledì 2 dicembre 2015

ore 15:00



*Scuola Normale Superiore*

Pisa

Aula Mancini



*Monica Musso *

*(PUC)*



Terrà un seminario dal titolo:



*“A non-compactness result on the fractional Yamabe problem in large
dimensions”*



*Abstract:*

*Let $(X^{n+1}, g^+)$ be an $(n+1)$-dimensional asymptotically hyperbolic
manifold with a conformal infinity $(M^n, [h])$.** The fractional Yamabe
problem addresses to solve \[P^{\gamma}[g^+,h] (u) = cu^{n+2\gamma \over
n-2\gamma}, \quad u > 0 \quad \text{on } M\] where $c \in {\mathbb{R} $ and
$P^{\gamma}[g^+,h]$ is the fractional conformal Laplacian whose principal
symbol is $(-\Delta)^{\gamma}$. We construct a metric on the half space $X
= {\mathbb{R}^{n+1}_+$, which is conformally equivalent to the unit ball,
for which the solution set of the fractional Yamabe equation is non-compact
provided that $n \ge 24$ for $\gamma \in (0, \gamma^*)$ and $n \ge 25$ for
$\gamma \in [\gamma^*,1)$ where $\gamma^* \in (0, 1)$ is a certain
transition exponent. The value of $\gamma^*$ turns out to be approximately
0.940197. This is a joint work with Seunghyeok Kim and Juncheng Wei.*



Tutti gli interessati sono invitati a partecipare.



Classe di Scienze Matematiche e Naturali


Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani at sns.it
E-mail: classi at sns.it
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