Annual Progress Seminar
Tuesday, September 26, 3 pm-4 pm
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Venue: Room-215
Host: Tony J. Puthenpurakal
Speaker: Sayed Sadiqul Islam
Title: Reductions of ideals in local rings
Abstract: The reduction theory goes back to the influential 1954 paper by Northcott and Rees, the paper that introduced the basic notions. We will prove the existence of minimal reductions and will discuss some properties of minimal reductions. A closely related notion is that of analytic spread l(I) of I is defined to be the Krull dimension of the fiber cone of I. We will see how analytic spread behaves in some special cases. If time permits then will introduce some new notions.