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Frobenius traces: equidistribution and related topics

Title of the event Frobenius traces: equidistribution and related topics
Series MathematischeGesellschaft
Organizer Mathematisches Institut
Speaker Victoria Cantoral Farfán
Speaker institution Universität Göttingen
Type of event Kolloquium
Category Forschung
Registration required Nein
Details During this talk, we are going to give an introduction of the Sato--Tate conjecture. This conjecture predicts the equidistribution of Frobenius traces, associated with an elliptic curve without complex multiplication. In connection with Frobenius traces, Nagao conjectured that the rank of an elliptic surface could be given by a limit formula arising from a weighted average of Frobenius traces from each fiber. One of the main goals of this talk will be to introduce, for the first time, a motivic generalization of Nagao conjecture as well as their links with some well-known conjectures in arithmetic geometry.
Date Start: 17.06.2021, 16:15 Uhr
Ende: 17.06.2021 , 17:15 Uhr
Location Mathematisches Institut (Bunsenstr 3-5)
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Contact 0551 39 27752
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