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Featured Speaker: Zhulin Li (MIT Mathematics)

Title: Unstable modules with only the top k Steenrod operations

Abstract: In this talk, I will introduce unstable modules with only the top k Steenrod operations at the prime 2. I'll show that they have projective dimension at most k. Then I'll establish forgetful functors, suspension functors, loop functors and Frobenius functors between such modules. The forgetful functors induce an inverse system of Ext groups, and the inverse system stabilizes when the covariant module is bounded above. In addition, I will talk about a generalization of the Lambda algebra which computes the Ext group from such modules to suspensions of the base field.

 

Click here to add this seminar to your google calendar. If you use a different calendar program, the ics file for this seminar is here:  http://math.mit.edu/topology/topology_seminar.ics

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  • Tejesh Kumar

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Special note: In accordance with MIT guidelines the seminar will be meeting online until further notice. The seminar will meet at 4:30 on Monday, using Zoom and is open to all. Click here to join the seminar. If you do not have Zoom installed, you will be prompted to install it. The Zoom meeting room number is 132-540-375.

Click here to add this seminar to your google calendar. If you use a different calendar program, the ics file for this seminar is here: 
http://math.mit.edu/topology/topology_seminar.ics