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Stable Homotopy Groups of Spheres and Motivic Homotopy Theory

Starting in winter 2024, we are running a reading seminar on stable homotopy groups of spheres, synthetic spectra and motivic deformation of stable homotopy theory. This is based on a syllabusLink opens in a new window by Martin GallauerLink opens in a new window.

We are meeting Wednesdays at 4pm in MS.05Link opens in a new window.

Here is a (tentative) overview of the talks.

Date Talk Speaker Notes
Winter 2024      
Jan 17 0.1 Overview Martin Gallauer  
Jan 24 1.1 Introduction Sunny Sood  
Jan 31 1.2 Adams spectral sequence Hannah MacDermott  
Feb 07 1.3 Adams-Novikov spectral sequence Daniel Marlowe  
Feb 14 1.4 Cofibre of tau, first take Yorick Fuhrmann pdfLink opens in a new window
Feb 21 1.5 Cofibre of tau, second take Pier Federico Pacchiarotti  
Feb 28 2.1 Motivated introduction to synthetic spectra I Tommy Yang pdfLink opens in a new window
Mar 06 2.2 Motivated introduction to synthetic spectra II Julie Rasmusen  
Spring 2024      
Apr 24 2.3 Spherical sheaves on additive sites Daniel Marlowe  
May 01 2.4 Adams-type homology theories and sheaves Tommy Yang  
May 08 2.5 The t-structure on synthetic spectra Julie Rasmusen  
May 15 2.6 The generic fiber Yorick Fuhrmann pdfLink opens in a new window
May 22 2.7 The special fiber Pier Federico Pacchiarotti  
May 29 2.8 Even synthetic spectra based on MU Marco Milanesi  
Jun 05 3.1 Motivic homotopy theory    
Jun 12 3.2 MGL    
Jun 19 3.3 As spherical sheaves    
Jun 26 3.4 Finishing up