Learning Seminar on BMS2 (Spring 2020)

Logistics

Time: 2:30 pm - 4:00 pm on Fridays
Location: Mason Hall 2330

This semester Shubhodip Mondal and I are organizing a learning seminar on (part of) Bhatt--Morrow--Scholze's work on integral p-adic Hodge theory.

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

References

Tentative Plan

The seminar is divided into two parts. The first part concerns Sections 2-5 of [BMS19] (and relevant background), culminating in appreciation of Thm 1.17 of loc. cit. The second part aims at introducing relevant background for analogous concepts with a "topological" prefix, and hopefully by the end we get to the construction of the complex AΩ via THH.

Schedule

  Date  Speaker  Topic  References 
Lecture 1  January 10th  Shizhang Li  Introduction and Organization   
Lecture 2  January 17th  Bhargav Bhatt  Hochschild Homology (and its various cousins)   
Lecture 3  January 24th  Ruian Chen  Simplicial and ∞-categories   
Lecture 4  January 31st  Andy Jiang  Cotangent complex   
Lecture 5  February 7th  Lukas Scheiwiller  Derived de Rham complex   
Lecture 6  February 13th 
Location: 2866 East Hall *
Jakub Witaszek  Flat descent of cotangent complex and HH  [BMS19, §3] 
Lecture 7  February 21st  Emanuel Reinecke  Quasi-syntomic site  [BMS19, §4] 
Lecture 8  February 28th  Shizhang Li  Negative cyclic homology and de Rham cohomology  [BMS19, §5] 
Lecture 9  March 27th  Shubhodip Mondal  What is... an E_{\infty} ring spectrum, really? 
Introduction to THH
 
Lecture 10  April 3rd  Haoyang Guo  THH over perfectoid base rings  [BMS19, §6] 
Lecture 11  April 10th  Shubhodip Mondal  Tate construction  [NS18, §3.1-3.3,4.1]
[Oberwolfach Report, P. 825-844] 
Lecture 12  April 17th  Attilio Castano  p-adic Nygaard filtration  [BMS19, §7.1-7.3] 
Lecture 13  April 24th  Shizhang Li  Relation to prismatic cohomology?   

* non-standard time or location

!! Starting at Lecture 9, we transit to online seminar style.

Last updated: March 17th, 2020.

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