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Tuesday, August 29, 2017
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29
August 2017
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8:00am  
9:00am [9:30am] Rajiv Kumar
Description:
Speaker: Rajiv Kumar Title: Herzog-Kuhl Equations and its Applications - I Abstract: In these talks, we will see relations between Hilbert series of a module and its graded Betti numbers. This gives relations between the graded Betti numbers of a modules which are known as Herzog-Kuhl equations. As an application, we show that the property of R being Cohen-Macaulay is characterized by the existence of a pure Cohen-Macaulay R-module of finite projective dimension.


[10:30am]Jai Laxmi
Description:
Speaker: Jai Laxmi Title: Tate Resolutions - I Abstract: Let S be a Noetherian ring, and R = S/I. It is always possible to construct a differential graded algebra (DG-algebra) resolution of R over S due to a result of Tate. If R is the residue field of S, then Gulliksen proved that such a DG-algebra resolution is minimal. We shall discuss the construction of the Tate resolution in our talk.

10:00am
11:00am
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5:00pm