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Seminar by Parangama Sarkar

Wednesday, November 13, 2019 - 15:30 to 16:30
Seminar Room, School of Mathematical Sciences
Parangama Sarkar
Chennai Mathematical Institute
Mixed Multiplicities and Rees’ theorem for filtrations

In this talk I will discuss mixed multiplicities of (not necessarily Noetherian) filtrations of m-primary ideals in a Noetherian local ring (R, m). I will give the construction of a real polynomial whose coefficients give the mixed multiplicities generalizing the classical theory for m-primary ideals. As a consequence, I will show that a classical theorem due to Rees, holds true for (not necessarily Noetherian) filtrations. I will also discuss a result which deals with non m-primary and non-Noetherian filtrations of ideals and partially generalizes another theorem of Rees.

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