MathematischeGesellschaft Elliptic curves and isogeny volcanoes |  |  |
Speaker:Prof. Dr. Fabien Pazuki, University of Copenhagen
Location:Mathematisches Institut, Bunsenstr 3-5Sitzungszimmer oder über Zoom: https://uni-goettingen.zoom.us/j/91336854872
Organizer:Mathematisches Institut
Details:
Elliptic curves are rich geometric objects with interesting properties depending on their field of definition. In this talk we will mainly focus on the case where these curves are defined over a finite field. We consider special maps between these curves: the isogenies, which are surjective morphisms with finite kernel. Now imagine a graph in which vertices represent elliptic curves and edges represent isogenies of a fixed degree... the goal of the talk is to describe this setting, and to explain what kind of structure these graphs may have... in the ordinary case, very volcanic! We will also explain a link with modern cryptography, and we will conclude with mentioning a new result, obtained in collaboration with Francesco Campagna and Henry Bambury, providing a solution to a related inverse problem. The talk will be accessible to a broad audience.
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Type:Colloquium
Language:English
Category:Research
External link:https://uni-goettingen.zoom.us/j/91336854872
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Direct link to event:https://events.goettingen-campus.de/event?eventId=844903
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