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Creators/Authors contains: "Hansen, David"

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  1. ; ; (, Forum of mathematics)
    Kottwitz’s conjecture describes the contribution of a supercuspidal representation to the cohomology of a local Shimura variety in terms of the local Langlands correspondence. A natural extension of this conjecture concerns Scholze’s more general spaces of local shtukas. Using a new Lefschetz–Verdier trace formula for v-stacks, we prove the extended conjecture, disregarding the action of the Weil group, and modulo a virtual representation whose character vanishes on the locus of elliptic elements. As an application, we show that, for an irreducible smooth representation of an inner form of GLn, the L-parameter constructed by Fargues–Scholze agrees with the usual semisimplified parameter arising from local Langlands. 
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  2. ; (, Compositio Mathematica)
    We prove a generic smoothness result in rigid analytic geometry over a characteristic zero non-archimedean field. The proof relies on a novel notion of generic points in rigid analytic geometry which are well adapted to ‘spreading out’ arguments, in analogy with the use of generic points in scheme theory. As an application, we develop a six-functor formalism for Zariski-constructible étale sheaves on characteristic zero rigid spaces. Among other things, this implies that characteristic zero rigid spaces support a well-behaved theory of perverse sheaves. 
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  3. ; ; (, Learned Publishing)
    Key points Text recycling is the reuse of material from an author's own prior work in a new document.While the ethical aspects of text recycling have received considerable attention, the legal aspects have been largely ignored or inaccurately portrayed.Copyright laws and publisher contracts are difficult to interpret and highly variable, making it difficult for authors or editors to know when text recycling in research writing is legal or illegal.We argue that publishers should revise their author contracts to make text recycling explicitly legal as long as authors follow ethics‐based guidelines. 
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