Continuing Seminar on BMS2 and surrounding topics (Summer 2020)


Time: Friday 14:30--16:00
Location: Zoom

This is a continuation of our previous seminar on integral p-adic Hodge theory.

Please email me if you would like to join the mailing list for this seminar.


Tentative Plan

We'll first learn the cyclotomic structure of THH from various sections of [NS18]. Then we shall finish learning the chapters 6 and 7 of [BMS19] (leaving K-theory untouched).
After that, assuming there are remaining momentum, we can start learning a relevant topic, for instance, chapters 8-11 of [BMS19] (think of as 4 topics, inter-related of course), relation to prismatic cohomology, or [AMMN20, Sections 5-6] (please feel free to email me suggesting topics).


  Date  Speaker  Topic  References 
Lecture 1  April 24th  Shizhang Li  Frobenius on THH and Organization  [NS18, §I.4, III.1] 
Lecture 2  May 1st  Shizhang Li  More on THH, characteristic p  [NS18, §IV.4] 
Lecture 3  May 8th  Andy Jiang  Even more on THH, p-adic  [BMS19, §6] 
Lecture 4  May 15th  Haoyang Guo  p-adic Nygaard complexes, I  [BMS19, §7.1-7.2] 
Lecture 5  May 22nd  Haoyang Guo  p-adic Nygaard complexes, II  [BMS19, §7.2-7.3] 
Lecture 6  May 29th  Shubhodip Mondal  Tate diagonal  [NS18, §III] 
Lecture 7  June 5th  Andy Jiang  Relative THH and Breuil--Kisin modules  [BMS19, §11] 
Lecture 8  June 12th    Introduction to prismatic cohomology  [BS19, §1] 
Lecture 9  June 19th    Comparing with prismatic cohomology  [BS19, §13] 
Lecture 10  June 26th    suggest topics please   
Lecture 11  July 3rd    suggest topics please   

Last updated: May 8th, 2020.

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