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Takeshi Tsuji

Higgs crystals

Abstract:

The p-adic Simpson correspondence of Faltings between small Higgs bundles and small generalized representations depends on the choice of a lifting of the variety over A_2(V). I will discuss a way to eliminate this dependence by working with a kind of crystals, which I call "Higgs crystals", instead of bundles, and describe the correspondence and cohomology from this point of view.

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