# Chromatic Homotopy Theory Seminar: Ambidexterity

Jack Davies, Niall Taggart, and I organized the third iteration of the Chromatic Homotopy Theory Seminar, in which we studied 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 an**d**δ**-p**ower 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**

*Dieudonn**é**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.