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.