Speaker: Kamran Divaani Aazar, IPM Tehran.
Date/Time: 16 October 2020, 5:30pm IST/ 12:00GMT / 08:00am EDT (joining
time: 5:15 pm IST - 5:30 pm IST)
Google meet link:
https://meet.google.com/fwn-qimp-rxk
Title: A survey on the finiteness properties of local cohomology modules -
Part 2
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Abstract:
The theory of local cohomology has been developed significantly during the
six decades of research after its introduction by Grothendieck. The study
of the finiteness properties of local cohomology modules initiated, in
1962, with a question asked by Grothendieck in his algebraic geometry
seminar.
In this survey talk, first, we will recall the basic definitions and
properties in the theory of local cohomology. Then, we shall list some
major problems on the finiteness properties of local cohomology modules.
Next, we will focus on the notion of cofiniteness. We shall continue by
examining some generalizations of local cohomology modules, and the
reformulation of finiteness properties for them.
To study finiteness properties for the widest generalization of local
cohomology modules, if time allows, at the end of the second session, we
will review the derived category approach to local cohomology.