Goodwillie calculus reading group

Fall 2022, Wednesdays 5:00-6:30pm in Krieger 411

Homotopy theory recap

Alvaro Belmonte

September 7

Linear functors, cubical diagrams, polynomial/excisive functors: Part 1

Daniil Serebrennikov

September 14

Linear functors, cubical diagrams, polynomial/excisive functors: Part 2

Daniil Serebrennikov

September 21

Taylor tower: construction

Yiyang Xu

notes here!

September 28

Homogeneous functors, derivatives

Tomas Mejia Gomez

October 5

Cross-effects, layers of the Taylor tower, examples

Akira Tominaga

October 12

Derivatives of the identity

Fan Huang

October 19

Analytic functors, Blakers-Massey theorem

Naruki Masuda

October 26

Applications: Higher topos theory

Sina Hazratpour

November 2

Applications: Higher topos theory

Jonathan Weinberger

November 9

Applications: Algebraic K-theory and trace methods

Luqiao Xu

November 16

Chain rule, and maybe applications to chromatic homotopy theory

Tim Campion

November 30