Let \(Y\) be a smooth rational surface and let \(D\) be an
effective divisor linearly equivalent to \(-K_Y\), such that \(D\)
is a cycle of smooth rational curves. Such pairs \((Y,D)\) arise in
many contexts, for example in the study of...
A folded symplectic form on a manifold is a closed 2-form with the
mildest possible degeneracy along a hypersurface. A special class
of folded symplectic manifolds are the origami manifolds. In the
classical case, toric symplectic manifolds can...
Groups are Gromov-hyperbolic when all geodesic triangles in their
Cayley graphs are close to being tripods. Despite being tree-like
in this manner, they can harbour extreme wildness in their
subgroups. I will describe examples stemming from a re...
We discuss the universal triviality of the \(\mathrm{CH}_0\)-group
of cubic hypersurfaces, or equivalently the existence of a
Chow-theoretic decomposition of their diagonal. The motivation is
the study of stable irrationality for these varieties...
Tate's conjecture for divisors on algebraic varieties can be
rephrased as a finiteness statement for certain families of
polarized varieties with unbounded degrees. In the case of abelian
varieties, the geometric part of these finiteness statements...
In its simplest form, the central limit theorem states that a sum
of n independent random variables can be approximated with error
\(O(n^{-1/2})\) by a Gaussian with matching mean and second moment
(given these variables are not too dissimilar). We...
Shot-noise random fields can model a lot of different phenomena
that can be described as the additive contributions of randomly
distributed points. In the first part of the talk, I will give some
properties of these random fields. And in a second...
