Previous Conferences & Workshops
Samuel Grushevsky
The Torelli map associates to a genus g curve its Jacobian - a
$g$-dimensional principally polarized abelian variety. It turns
out, by the works of Mumford and Namikawa in the 1970s (resp.
Alexeev and Brunyate in 2010s), that the Torelli map extends...
On the homology and the tree of $SL_2$ over polynomial rings, and reflexive sheaves of rank 2 on projective spaces II
11:00am|Physics Library, Bloomberg Hall 201
We will first quickly recall basic facts on the tree of SL_2
over a field K with a discrete valuation v, following Serre's book.
We will then generalize the geometric interpretation given in that
book for curves to a higher dimensional situation...
How to round subspaces: a new spectral clustering algorithm
Given a $k$-dimensional linear subspace, consider the problem of
approximating it (with respect to the spectral norm) in terms of
another subspace spanned by the indicators of a $k$-partition of
the coordinates. This is known as the spectral...
Twisted matrix factorizations and loop groups
The data of a compact Lie group $G$ and a degree 4 cohomology
class on its classifying space leads to invariants in
low-dimensional topology as well as important representations of
the infinite dimensional group of loops in $G$. Previous work
with...
Quantum computing with noninteracting particles
Alex Arkhipov
We introduce an abstract model of computation corresponding to
an experiment in which identical, non-interacting bosons are sent
through a non-adaptive linear circuit before being measured. We
show that despite the very limited nature of the model...
Quantum Computing with Noninteracting Particles
Alex Arkhipov
11:15am|Simonyi Hall, Room 101
We introduce an abstract model of computation corresponding to
an experiment in which identical, non-interacting bosons are sent
through a non-adaptive linear circuit before being measured. We
show that despite the very limited nature of the model...
Path products in projective space
We compute the mod 2 homology of the space of paths in $\mathbb
CP^n$ with endpoints in $\mathbb RP^n$, and its algebra structure
with respect to the Pontryagin-Chas-Sullivan product. Our method
combines Morse theory with geometry. Joint work with...
On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups
The formal degree conjecture relates the formal degree of an
irreducible square-integrable representation of a reductive group
over a local field to the special value of the adjoint gamma-factor
of its L-parameter. We prove the formal degree...
What is common to the Szemeredi Regularity lemma in graph
theory, the Green-Tao result on arithmetic progressions in the
primes, the Schapire Boosting algorithm in machine learning and
Impagliazzo Hard-Core set theorem in computational
complexity...
