February 6, 2023
4:00PM - 5:00PM
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2023-02-06 17:00:00
2023-02-06 18:00:00
Hecke orbits on Shimura varieties of Hodge type
Title: Hecke orbits on Shimura varieties of Hodge type
Speaker: Pol van Hoften (Stanford University)
Abstract: 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 many of the new ideas can already be explained in this special case. This is joint work with Marco D'Addezio.
URL associated with Seminar: https://research.math.osu.edu/numbertheory/
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2023-02-06 16:00:00
2023-02-06 17:00:00
Hecke orbits on Shimura varieties of Hodge type
Title: Hecke orbits on Shimura varieties of Hodge type
Speaker: Pol van Hoften (Stanford University)
Abstract: 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 many of the new ideas can already be explained in this special case. This is joint work with Marco D'Addezio.
URL associated with Seminar: https://research.math.osu.edu/numbertheory/
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Department of Mathematics
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Title: Hecke orbits on Shimura varieties of Hodge type
Speaker: Pol van Hoften (Stanford University)
Abstract: 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 many of the new ideas can already be explained in this special case. This is joint work with Marco D'Addezio.
URL associated with Seminar: https://research.math.osu.edu/numbertheory/
