8:00am |
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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.
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10:00am |
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11:00am |
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12:00pm |
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1:00pm |
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2:00pm |
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3:00pm |
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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
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5:00pm |
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6:00pm |