Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Evolutions, related to Galois deformations, arise naturally in the study of Hecke algebras, as in the work of Wiles, Taylor-Wiles, and Flach related to the proof of Fermat's Last Theorem. Naturally a statement in number theory, the Eisenbud-Mazur conjecture states that all evolutions of certain local algebras are trivial. In 1997, Eisenbud and Mazur showed that their conjecture was equivalent to one concerning symbolic powers in regular rings. In particular they prove that a reduced algebra R/I has no nontrivial evolutions if and only if the symbolic square I (2) contains no minimal generator. In this talk I will describe the result of Eisenbud and Mazur and discuss cases where the conjecture is known to be true (and false!)
No Notes/Supplements Uploaded No Video Files Uploaded