Consider the process where a signal propagates downward an
infinite rooted tree. On every edge some independent noise is
applied to the signal. The reconstruction problem asks whether it
is possible to reconstruct the original signal given...
The problem of control of large multi-agent systems, such as
vehicular traffic, poses many challenges both for the development
of mathematical models and their analysis and the application to
real systems. First, we discuss how conservation laws can...
I will give a construction of certain Q-valued deformation
invariants of (in particular) complete non-positively curved
Riemannian manifolds. These are obtained as certain elliptic
Gromov-Witten curve counts. As one immediate application we give
In 1982, S. T. Yau conjectured that there exists at least four
embedded minimal 2-spheres in the 3-sphere with an arbitrary
metric. In this talk, we will show that this conjecture holds true
for bumpy metrics and metrics with positive Ricci curvature...
I will discuss the relationship between positive loops of
contactomorphisms of a fillable contact manifold and the symplectic
cohomology (SH) of the filling. The main result is that the
existence of a positive loop which is "extensible" implies
We discover a surface related to the pair correlation of zeros
of the Riemann zeta function. We make a conjecture on the shape of
the surface and present partial results and numerical evidence
towards the conjecture. This is joint work with Debmalya...
Redshifted 21cm emission from neutral hydrogen is rapidly
becoming one of our most powerful observables in cosmology. With
it, we can study the evolution of dark energy at low/intermediate
redshifts, the epoch of reionization, the first stars in the...
In this talk, I will first describe how classical Dieudonne
module of finite flat group schemes and p-divisible groups can be
recovered from crystalline cohomology of classifying stacks. Then,
I will explain how in mixed characteristics, using...