Week ly seminar:
Event ended
The seminar will take place on Friday, December, 2, at 17:00 in the room 306. Andrew Staa (NRU HSE) с докладом "Irreducibility of Random Hilbert Schemes".
Abstract: What are the geometric properties of a typical Hilbert scheme? In this talk, we consider Hilbert schemes parametrizing closed subschemes in some projective space with a fixed Hilbert polynomial. We first explain how to make the collection of all such Hilbert schemes into a discrete probability space. Exploiting the underlying combinatorial structure, we show why a random Hilbert scheme is smooth and irreducible with probability greater than 0.5.