Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: A “bad” component of the Hilbert Scheme

Seminar | October 24 | 5-6 p.m. | 939 Evans Hall

 Ritvik Ramkumar, UC Berkeley

 Department of Mathematics

We witness a phenomenon of so-called Murphy's law in the context of Hilbert schemes. After a brief review of Hilbert schemes and their basic properties, we use the liaison theory to construct Mumford's example of a non-reduced component of the Hilbert scheme of smooth curves in $P^3$.