I will explain how Néron blowups as defined in Arnaud’s talk encode level structures on moduli stacks of bundles. This can be used to define integral models of moduli stacks of shtukas with level structures. In the case of parahoric group schemes, these models are analogues of the integral models of Shimura varieties defined by Kisin-Pappas. If time permits, I indicate some problems arising outside the case of parahoric level structures.

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