Tom Bachmann

collaborators

2 papers

math.AG2024

Strongly A^1-invariant sheaves (after F. Morel)

Tom Bachmann

Strongly (respectively strictly) A1-invariant sheaves are foundational for motivic homotopy theory over fields. They are sheaves of (abelian) groups on the Nisnevich site of smooth…

math.AT2024

$E_{\infty}$ -coalgebras and $p$ -adic homotopy theory

Tom Bachmann, Robert Burklund

We show that for any separably closed field $k$ of characteristic $p > 0$ , the canonical functor from nilpotent $p$ -adic spaces to $E_{\infty}$ -coalgebras over $k$ (given by…

Strongly A^1-invariant sheaves (after F. Morel)

E∞​-coalgebras and p-adic homotopy theory

$E_{\infty}$ -coalgebras and $p$ -adic homotopy theory