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Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
Takenori Kataoka, Yoshiaki Okumura
https://arxiv.org/abs/2509.06633 https://ar…

Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
The Taelman class groups associated to Drinfeld modules over function fields serve as an analogue of ideal class groups of number fields. In this paper, we establish an analogue of Iwasawa's asymptotic formula for $\mathbb{Z}_p$-extensions in the context of the Taelman class groups. For this purpose, we naturally introduce and investigate Taelman class groups with moduli.

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Classification of standard Manin triples in dimension 4 4
Ladislav Hlavat\'y, Petr Novotn\'y, Ivo Petr
https://arxiv.org/abs/2509.05638 https://arx…

Classification of standard Manin triples in dimension 4+4
Four- and six-dimensional Drinfeld doubles were classified in the past in terms of Manin triples. We provide an important step towards classification of eight-dimensional Drinfeld doubles by presenting an extensive list of Manin triples formed by pairs of four-dimensional Lie algebras. Due to the high complexity of the classification we focus on Manin triples formed by algebras in a certain standard form. The list contains 188 non-isomorphic Manin triples plus their duals. To apply the result…

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On the pro-\'etale cohomology of quotient stacks of Drinfeld spaces
Zecheng Yi
https://arxiv.org/abs/2510.02699 https://arxiv.org/pdf/2510.02699…

On the pro-étale cohomology of quotient stacks of Drinfeld spaces
Let $\mathcal{H}^{n-1}_{K}$ denote the $(n-1)$-dimensional Drinfeld space over a $p$-adic field $K$. We give an explicit description of the $\ell$-adic and $p$-adic pro-étale cohomology of quotient stacks $[\mathcal{H}^{n-1}_{K}/\operatorname{GL}_n(\mathcal{O}_K)]$ and $[\mathcal{H}^{n-1}_{K}/\operatorname{GL}_n(K)]$, which are moduli stacks of special formal $\mathcal{O}_D$-modules. The computation makes use of the isomorphism between the Lubin-Tate tower and the Drinfeld tower due to Falting…

SymTFT actions, Condensable algebras and Categorical anomaly resolutions
Daniel Robbins, Subham Roy
https://arxiv.org/abs/2509.05408 https://arxiv.org/pdf/…

SymTFT actions, Condensable algebras and Categorical anomaly resolutions
We investigate symmetry topological field theories (SymTFTs) of non-abelian and non-invertible symmetries and the different Lagrangian algebras associated with a given Drinfeld center. For several examples we analyze the condensable algebras of the Drinfeld center to identify the intrinsically gapless symmetry protected topological (igSPT) phases. In previous work, the relation between igSPT phases and resolving anomalies by embedding an anomalous symmetry inside a larger fusion category was de…

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