Notes on motivic infinite loop space theory

Abstract

In fall of 2019, the Thursday Seminar at Harvard University studied motivic infinite loop space theory. As part of this, the authors gave a series of talks outlining the main theorems of the theory, together with their proofs, in the case of infinite perfect fields. These are our extended notes on these talks.

mainly expository; 38 pages; v2: include treatment of strict A1-invariance; v3: remove erroneous claim (Lemma 3.23) and rewrite Section 3.5 to work around this

References in corpus (6)

• Higher Topos Theory
• Motivic and Real Etale Stable Homotopy Theory
• Modules over algebraic cobordism
• The localization theorem for framed motivic spaces
• Affine Grassmannians in A^1-algebraic topology
• Framed motives of smooth affine pairs

Cited by in corpus (1)

• Zariski-local framed ${\mathbb{A}}^1$-homotopy theory