We give a new local characterization of the Local Langlands
Correspondence, using deformation spaces of p-divisible groups, and
show its existence by a comparison with the cohomology of some
Shimura varieties. This reproves results of Harris-Taylor...
Infinite continuous graphs emerge naturally in the geometric
analysis of closed planar sets which cannot be presented as
countable union of convex sets. The classification of such graphs
leads in turn to properties of large classes of real
functions...
The "hard discs" model of matter has been studied intensely in
statistical mechanics and theoretical chemistry for decades. From
computer simulations it appears that there is a solid--liquid phase
transition once the relative area of the discs is...
A perfect matching in a k-uniform hypergraph H = (V, E) on n
vertices
is a set of n/k disjoint edges of H, while a fractional perfect
matching
in H is a function w : E → [0, 1] such that for each v ∈ V we
have
e∋v w(e) = 1. Given n ≥ 3 and 3 ≤ k ≤ n...
This talk will be a progress report on an ongoing research
project which is joint work with Ajay Chandra and Gianluca Guadagni
and which concerns a p-adic analog of the Brydges-Mitter-Scoppola
phi-4 model with...
Picard moduli spaces parametrize principally polarized abelian
varieties with complex multiplication by the ring of integers in an
imaginary-quadratic field. The loci where the abelian varieties
split off an elliptic curve in a controlled way are...
GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR
Some automorphic forms, despite the fact they are algebraic, do
not have any interpretation as cohomology classes on a Shimura
variety: therefore nothing is known at present on their
expected...
We give an elementary proof of a generalization of Bourgain and
Tzafriri's Restricted Invertibility Theorem, which says roughly
that any matrix with columns of unit length and bounded operator
norm has a large coordinate subspace on which it is well...
