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DTSTART:20220327T030000
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DTSTAMP:20220526T165554Z
UID:1652958000@ist.ac.at
DTSTART:20220519T130000
DTEND:20220519T150000
DESCRIPTION:Speaker: Victoria Cantoral Farfán\nhosted by Tim Browning\nAbs
tract: The famous Sato-Tate conjecture for elliptic curves (without comple
x multiplication and defined over a number field) predicts the equidistrib
ution of traces of Frobenius automorphisms with respect to the Haar measur
e of the corresponding Sato-Tate group. This conjecture has already been g
eneralized for higher-dimensional abelian varieties\, K3 surfaces\, and pu
re motives of odd weight. It seems natural to study in detail the Sato-Tat
e group in order to tackle the generalized Sato-Tate conjecture. During th
e first part of this talk\, we are going to discuss this conjecture. The s
econd part will be devoted to the study of the component group of the Sato
-Tate group of an abelian variety of arbitrary dimensions\, defined over a
number field K. This is joint work with Grzegorz Banaszak.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Victoria Cantoral Farfán: Some remarks on the component group of t
he Sato-Tate group
URL:https://talks-calendar.app.ist.ac.at/events/3547
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