COLLOQUIO DE
GIORGI
“Eigenvalue
statistics and lattice points”
One
of the more challenging problems in spectral theory and mathematical physics
today is to understand the statistical distribution of eigenvalues of the
Laplacian on a compact manifold.
There
are now several challenging conjectures about these, originating in the physics
literature.
I
will describe what is conjectured and what is known the very simple case of the
flat torus, where the problems amount to counting lattice points in annuli and
have a definite arithmetic flavour.
Martedì
9 maggio 2006
ore
17.00
Aula
Mancini
PISA