Notiziario Scientifico
Settimana dal 30 giugno al 6 luglio 2014
Giovedì 3 luglio 2014
Giovedì 3 luglio 2014
Tutte le informazioni relative a questo notiziario devono pervenire
all'indirizzo di posta elettronica
seminari@mat.uniroma1.it
entro le ore 9 del venerdì precedente la settimana di pubblicazione.
Ore 11:00, Aula Dal Passo, Università di Roma II
Since the beginning of space flight in 1957, humans have left a troubling legacy of garbage in
space. Discarded rocket bodies, derelict satellites, and explosion debris now litter Earth orbit.
These debris pose a risk to human space flight, robotic space flight, and even safety of humans on
the ground. What do we know about this environment? What are we doing about it? This talk will
answer these questions and discuss the path for the future.
Ore 14:30, Aula INdAM
Seminario di Analisi Armonica ed Equazioni a Derivate Parziali
The phenomenon of wave localization permeates acoustics, quantum physics, elasticity, energy
engineering. It was used in construction of the noise abatement walls, LEDs, optical devices.
Anderson localization of quantum states of electrons has become one of the prominent subjects in
quantum physics, as well as harmonic analysis and probability. Yet, no methods predict specific
spatial location of the localized waves. In this talk I will present recent results revealing a
universal mechanism of spatial localization of the eigenfunctions of an elliptic operator and
emerging operator theory/analysis/geometric measure theory approaches and techniques. We prove that
for any operator on any bounded domain there exists a "landscape" which splits the domain into
disjoint subregions and indicates location, shapes, and frequencies of the localized eigenmodes. In
particular, the landscape connects localization to a certain multi-phase free boundary problem,
regularity of minimizers, and geometry of free boundaries.
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