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Abstract: We will show how linked Grassmannians, a class of moduli spaces for
limit linear series on algebraic curves, are related to local models
of Shimura varieties. For certain questions, linked Grassmannians
provide an easy formalism for moduli-theoretic aspects of the theory
of local models, in terms of degenerations of flag varieties. In
particular, we'll show that local models for certain classes of
Shimura varieties of PEL-type are linked Grassmannians in disguise,
introduce a dictionary between the two types of objects, and point to
some questions that this raises. For example, both linked
Grassmannians and local models come with a number of natural
stratifications, but are they related to each other? This is joint
work with Binglin Li.