CHTS: Ambidexterity (2021-2022)

Jack Davies, Niall Taggart, and I organized the third iteration of the Chromatic Homotopy Theory Seminar (CHTS), which was aimed at understanding the ambidexterity theorems of Hopkins-Lurie and Carmeli-Schlank-Yanovski. Jack wrote a syllabus for the seminar which can be found here.

Time & location

The seminar will take place every Wednesday from 15.00-16.30. The location differs from time to time, and can be found in the schedule below.

Schedule

Part I: Background and general machinery

October 13, 15.00-16.30, in Minnaert 2.06
Overview of ambidexterous phenomena, Tommy Lundemo.
October 20, 15.00-16.30, in BBG 0.83
Review of the Tate construction and vanishing, Sven van Nigtevecht.
October 27, 15.00-16.30, in BBG 0.83
Norm functors for ∞-categorical local systems, Haoqing Wu.
November 3, 15.00-16.30, in BBG 1.61
The notion of m-semiadditivity, Jaco Ruit.

Part II: The category of T(n)-local spectra is m-semiadditive

November 10, 15.00-16.30, in BBG 0.79
Integrating maps and an overview of the proof, Lennart Meier.
November 17, 15.00-16.30, in Minnaert 0.15
Additive p-derivations and δ-power operations, Niall Taggart.
November 24, 15.00-16.30, in Minnaert 0.15
The bootstrap machine, Max Blans.
December 1, 15.00-16.30, in BBG 0.75
Completion of the T(n)-local proof, Jack Davies.

Part III: The category of K(n)-local spectra is m-semiadditive

December 8, 15.00-16.30, in BBG 0.75
The Morava K-theory of Eilenberg-Mac Lane spaces, Yuqing Shi.
December 15, 15.00-16.30, in BBG 0.75
Dieudonné theory, Sven van Nigtevecht.

Guest speakers

January 12, 15.00-16.30, online via Teams
Cyclotomic Extensions in Chromatic Homotopy Theory, Shachar Carmeli.
January 26, 15.00-16.30, online via Teams
Ambidexterity phenomena at height 1, Allen Yuan.