Danielle S. Allen, UPS Foundation Professor, School of Social Science; Angelos Chaniotis, Professor, School of Historical Studies
In this talk, Danielle S. Allen, UPS
Foundation Professor in the School of Social Science, and Angelos Chaniotis,
Professor in the School of Historical Studies, present arguments
from two perspectives for the continued relevance of antiquity
to...
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...
Let H be a fixed graph with h vertices. The graph removal lemma
states that every graph on n vertices with o(nh) copies of H can be
made H-free by removing o(n2) edges. We give a new proof which
avoids Szemeredi's regularity lemma and...
I will discuss the problem of determining the number of
infinite-volume ground states in the Edwards-Anderson (nearest
neighbor) spin glass model on $Z^D$ for $D \geq 2$. There are no
complete results for this problem even in $D=2$. I will focus
on...
Let F be a locally compact non-Archimedean field, p its residue
characteristic and G a connected reductive algebraic group over F .
The classical Satake isomorphism describes the Hecke algebra (over
the field of complex numbers) of double...