Title: Stable homotopy groups, higher algebra and the telescope Conjecture.

Abstract: Spectra are the homotopy theorists' abelian groups, they have a fundamental place in algebraic topology but also appear in arithmetic geometry, differential topology, mathematical physics and symplectic geometry. In a similar vein to the way that abelian groups are the bedrock of algebra and algebraic geometry we can take a similar approach of spectra, I will discuss the picture that emerges and how one can use it to address classical questions about the  homotopy groups of spheres.

Livestream/Recording Link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=fbff43e6-c56c-41d7-b964-b0ec006c174f