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Tuesday, September 5, 2017
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Category: All

05
September 2017
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8:00am  
9:00am [9:30am]Rajiv Kumar
Description:
Title: Herzog-Kuhl Equations and its Applications - II 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:
Title: Tate Resolutions - II 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
12:00pm  
1:00pm  
2:00pm  
3:00pm  
4:00pm [4:00pm]Arghya Mondal
Description:
Speaker: Arghya Mondal Title: Local Langlands Correspondence in the Archimedean case Abstract: In this lecture, we will understand the statement of the local Langlands correspondence in the Archimedean case. This lecture will be based on the article available here https://www.math.stonybrook.ed u/~aknapp/pdf-files/motives.pdf

5:00pm
6:00pm