An old open question in symplectic topology is whether all
normalized capacities coincide on convex bounded domains in the
standard symplectic vector space. I will discuss this question for
domains which are close to the Euclidean ball and its...
I will present a new theory of motivic cohomology for general
(qcqs) schemes. It is related to non-connective algebraic K-theory
via an Atiyah-Hirzebruch spectral sequence. In particular, it is
non-A1
-invariant in general, but it recovers classical...
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
the...
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...
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
SH...
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...
Humans tend to be better at physics than at mathematics.
After all, when an apple falls from a tree, there are more
people who can catch it—they know physically how the apple
moves—than people who can compute its trajectory from a
differential...
