Previous Conferences & Workshops

In 1984 Hirzebruch constructed the first examples of smooth toroidal compactifications of ball quotients with non-nef canonical divisor. In this talk, I will show that if the dimension is greater or equal than three then such examples cannot exist...

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...

We will discuss the boundedness of log general type pairs, with the aim on proving the moduli of KSBA stable varieties is bounded.

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...

The computational worldview is relevant to multiple fields of investigation beyond computer science, including evolutionary theory. Evolution is a creative process that generates organisms as well as behavioral programs, which can be thought of as...

Few theorems in the history of mathematics have inspired mathematicians and philosophers as much as Godel’s first and second incompleteness theorems. I will present a new proof for Godel's second incompleteness theorem, based on Kolmogorov...

We show that for any symplectic manifold of dimension \(2n > 4\), there exists a symplectic hypersurface Poincare dual to some positive multiple of the symplectic form whose \((n - 2)\)th Betti number is as large as we like. The idea here is to find...

I will report on recent joint work with L. Katzarkov and M. Kontsevich (arXiv:1409.8611) in which we construct Bridgeland stability conditions on partially wrapped Fukaya categories of surfaces. Stable objects in these stability conditions...