Tue, October 13, 2020
Public Access

Category:
Category: All

13
October 2020
Mon Tue Wed Thu Fri Sat Sun
      1 2 3 4
5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30 31  
8:00am  
9:00am  
10:00am  
11:00am  
12:00pm  
1:00pm  
2:00pm  
3:00pm  
4:00pm  
5:00pm [5:30pm] Kamran Divaani Aazar, IPM Tehran
Description:
Speaker: Kamran Divaani Aazar, IPM Tehran. Date/Time: 13 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 1 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.
6:00pm