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.
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.
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
Time:
9:30am-10:30am
Location:
Ramanujan Hall
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.
Time:
10:30am-11:30am
Location:
Ramanujan Hall
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.
Time:
4:00pm-6:30pm
Location:
Room 216, Department of Mathematics
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