Directed Readings in Arithmetic Geometry ONline/DRAGON (2nd Edition, Summer 2020)

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Logistics

Time: Monday and Thursday 16:00--17:00
Location: Zoom

This is a learning seminar on the filtered circle and a universal HKR theorem.

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

Reference

Tentative Plan

We shall go linearly in the paper through §5.

Notes

Schedule

  Date  Speaker  Topic  References  Notes 
Lecture 1  July 9th  Bhargav  introduction  [§1]  Notes 
Lecture 2  July 13th  Emanuel  filtered objects  [§2.1-2.2]  Notes 
Lecture 3  July 16th  Emanuel  ker/fix of Frob  [§2.3]  see above 
Lecture 4  July 20th  Shizhang  affinization review  [§3.1-3.2]  Notes 
Lecture 5  July 23rd  Shizhang  calculate B(Fix) cohomology  [§3.3]  Notes 
Lecture 6  July 27th  Shubhodip  calculate B(Ker) cohomology + sheaves on circle  [§3.4-3.5]  Notes 
Lecture 7  July 30th  Arpon  cohomology of filtered circle  [§4.1]  Notes 
Lecture 8  August 3rd *(starting at 16:30)  Arpon  representations of filtered circle  [§4.2]  Notes 
Lecture 9  August 10th  Bhargav  HKR  [§5.1]  Notes 
Lecture 10  August 13th  Shizhang  HC  [§5.2-5.4]  Notes 
Lecture 11  August 17th  Arpon  Arpon's recent work  [preprint Notes 

* non-standard time

Last updated: August 17th, 2020.

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