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Motivic Toda brackets

Posted in
Speaker: 
Xiaowen Dong
Zugehörigkeit: 
Johannes-Gutenberg-Universität Mainz
Datum: 
Mit, 13/11/2024 - 11:00 - 12:00
Location: 
MPIM Lecture Hall

I would like to talk about Toda brackets in unstable motivic homotopy theory. Toda brackets were originally introduced by Hiroshi Toda to compute homotopy groups of spheres and are important computational tools in homotopy theory. Using such brackets and the EHP-sequence Toda was able to compute $\pi_{n+k} (S^n)$ for $k \le 19$ and $n \le 20$ and until now there are only small improvements towards this range. Hence we would like to have such useful computational tools in unstable motivic homotopy theory, too.

 

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