Finiteness properties in infinite-dimensional algebraic geometry KU Leuven
The research objectives of my proposal concern questions on finiteness in infinite-dimensional algebraic geometry appearing in two different contexts: arc spaces of algebraic varieties, and infinite-dimensional spaces with a large group of symmetries. The common theme is that the systematic study of these objects requires tools that are beyond the limits of classical algebraic geometry. In my research I make use of groundbreaking recent ...