We use Non-Reductive GIT to construct compactifications of Hilbert schemes of complete intersections. We then study ample line bundles on these compactifications in order to construct moduli spaces of complete intersections for certain degree types.
I will review recent progress on extending the Minimal Model Program to algebraically integrable foliations, focusing on applications such as the canonical bundle formula and recent results toward the boundedness of Fano foliations.
In this Oxford Mathematics Public Lecture Gábor Domokos will use the geometric theory of tilings to describe natural patterns ranging from nanoscale to planetary scale, appearing in physics, biology, and geology and will introduce a new class of shapes called soft cells, which appear in both living and non-living nature.
