# The Deligne-Simpson problem for connections on $\mathbb{G}_m$ with a maximally ramified singularity

@inproceedings{Kulkarni2021TheDP, title={The Deligne-Simpson problem for connections on \$\mathbb\{G\}\_m\$ with a maximally ramified singularity}, author={Maitreyee C. Kulkarni and Neal Livesay and Jacob P. Matherne and Bach Nguyen and Daniel S. Sage}, year={2021} }

## 3 Citations

### A Deligne-Simpson problem for irregular $G$-connections over $\mathbb{P}^{1}$

- Mathematics
- 2023

We give an algebraic and a geometric criterion for the existence of $G$-connections on $\mathbb{P}^{1}$ with prescribed irregular type with equal slope at $\infty$ (isoclinic) and with regular…

### Meromorphic connections on the projective line with specified local behavior

- Mathematics
- 2022

A BSTRACT . A meromorphic connection on the complex projective line induces formal connections at each singular point, and these formal connections constitute the local behavior at the singularities.…

### Airy sheaves for reductive groups

- MathematicsProceedings of the London Mathematical Society
- 2022

We construct a class of ℓ$\ell$ ‐adic local systems on A1$\mathbb {A}^1$ that generalizes the Airy sheaves defined by N. Katz to reductive groups. These sheaves are finite field analogues of…

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