2 problems

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The Laurent-series $u$ -invariant conjecture
Let $k$ be a field and let $F_n=k(\!(t_1,\dotsc,t_n)\!)$ be the Laurent series field in $n$ variables over $k$ , with $n\geq 2$ . For a finite field extension $\ell/k$ , write…
Conjectureopenlaurent-series-fields quadratic-forms u-invariantarXiv posted 3 days ago
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The Laurent-series Pythagoras-number conjecture
Let $k$ be a field and let $F_n=k(\!(t_1,\dotsc,t_n)\!)$ be the Laurent series field in $n$ variables over $k$ , with $n\geq 2$ . For a finite field extension $\ell/k$ , write…
Conjectureopenlaurent-series-fields pythagoras-numbers quadratic-formsarXiv posted 3 days ago

The Laurent-series uuu-invariant conjecture