Ryomei Iwasa

activity

20162024

most citedCohomology of the moduli stack of algebraic vector bundles

5 citations · 13 across the 8 of their papers we have counts for

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6 papers · 1 filter

math.AG2024

Atiyah duality for motivic spectra

Toni Annala, Marc Hoyois, Ryomei Iwasa

We prove that Atiyah duality holds in the $\infty$ -category of non- $A^{1}$ -invariant motivic spectra over arbitrary derived schemes: every smooth projective scheme is dualiza…

math.AG2023

Algebraic cobordism and a Conner-Floyd isomorphism for algebraic K-theory

Toni Annala, Marc Hoyois, Ryomei Iwasa

We formulate and prove a Conner-Floyd isomorphism for the algebraic K-theory of arbitrary qcqs derived schemes. To that end, we study a stable $\infty$ -category of non-$\mathbb A^1…

math.AG2022★ 1 cited

Motivic spectra and universality of $K$ -theory

Toni Annala, Ryomei Iwasa

We develop a theory of motivic spectra in a broad generality; in particular $A^{1}$ -homotopy invariance is not assumed. As an application, we prove that $K$ -theory of scheme…

math.AG2021★ 5 cited

Cohomology of the moduli stack of algebraic vector bundles

Toni Annala, Ryomei Iwasa

Let $V ect_{n}$ be the moduli stack of vector bundles of rank $n$ on schemes. We prove that, if $E$ is a Zariski sheaf of ring spectra which is equipped with finite…

math.AG2020

Milnor excision for motivic spectra

Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1

We prove that the $\infty$ -category of motivic spectra satisfies Milnor excision: if $A \to B$ is a morphism of commutative rings sending an ideal $I \subset A$ isomorphically onto a…