Hecke orbits on Shimura varieties of Hodge type
Hecke orbits on Shimura varieties of Hodge type
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Pol van Hoften, Stanford University
Online Talk听
Meeting ID:听 920 2195 5230
Passcode:听 听 The three-digit integer that is the cube of the sum of its digits.听
Oort conjectured in 1995 that isogeny classes in the moduli space A_g of principally polarised abelian varieties in characteristic p are Zariski dense in the Newton strata containing them. There is a straightforward generalization of this conjecture to the special fibres of Shimura varieties of Hodge type, and in this talk, I will present a proof of this conjecture.听I will mostly focus on the case of A_g since many of the new ideas can already be explained in this special case.
This is joint work with Marco D'Addezio.