Moduli spaces of shtukas over function fields
Moduli spaces of shtukas over function fields
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Jared Weinstein, Boston University
We present some work in progress, on moduli spaces of Drinfeld shtukas.听 These spaces are the function field analogous to听Shimura varieties.听 In fact they are more versatile; 听there are r-legged versions for any r.听 Tate's conjecture predicts some interesting relations between shtuka spaces and function field arithmetic.听 For instance, there should be a notion of modularity听for the r-fold product of an elliptic curve.听 We verify these predictions in a few cases.听
This is partly joint work听with Noam Elkies.听
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