Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Connectedness of the associated graded ring of a local ring
Let R be a complete local ring containing a field. In this talk, we will discuss connectedness properties of R that descend to its associated graded ring G at the maximal ideal. The main tool we use is a homogenization technique which produces a complete “Gröbner-like” deformation of R with special fibre the completion of G. Time permitting, we will also discuss some consequences of these results on certain numerical invariants of R. This talk is based on joint work with Maria Evelina Rossi and Matteo Varbaro.
No Notes/Supplements Uploaded