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Hecke orbits on Shimura varieties of Hodge type

July 1 at 14:0015:30 CEST

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 generalisation 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.  I will mostly focus on the case of A_g since most of the new ideas can already be explained in this special case. This is joint work with Marco D'Addezio.
Meeting-ID: 635 7328 0984
Password: 100003


July 1
14:00 – 15:30 CEST


Timo Richarz
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Darmstadt, Room 401 and Zoom
Schlossgartenstraße 7
Darmstadt, 64289 Germany
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