Conférence de lancement de la Chaire Jean-Pierre Bourguignon

Collection Conférence de lancement de la Chaire Jean-Pierre Bourguignon

Organizer(s) Dustin Clausen (IHES)
Date(s) 26/01/2024 - 26/01/2024
linked URL https://indico.math.cnrs.fr/event/11422/
00:00:00 / 00:00:00
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Stable Homotopy Group, Higher Algebra and the Telescope Conjecture

By Tomer Schlank

A fundamental motivating problem in homotopy theory is the attempt to the study of stable homotopy groups of spheres. The mathematical object that binds stable homotopy groups together is a spectrum. Spectra are the homotopy theorist 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 learn about the stable homotopy groups of spheres.

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