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SUMMARY:Dimitrios Noulas (National and Kapodistrian University of Athens)
DTSTART:20260423T133000Z
DTEND:20260423T143000Z
DTSTAMP:20260423T021332Z
UID:GANT/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/83/">Di
 stortion maps for elliptic curves over finite fields</a>\nby Dimitrios Nou
 las (National and Kapodistrian University of Athens) as part of Greek Alge
 bra & Number Theory Seminar\n\n\nAbstract\nIf P is a torsion point on an e
 lliptic curve over a finite field\, then a distortion map with respect to 
 P is an endomorphism that maps P outside the cyclic group generated by P. 
 While initially motivated by questions related to cryptography\, the algeb
 raic properties and existence conditions of such maps present an interesti
 ng problem in its own right\, related to the arithmetic of endomorphism ri
 ngs. In this talk\, we will discuss the arithmetic of distortion maps and 
 provide a criterion for a map to be a distortion map\, as well as a comple
 te classification regarding their existence over finite fields. This is jo
 int work with Nikita Andrusov\, Sevag Büyüksimkeşyan\, Fabien Pazuki\, 
 Mustafa Umut Kazancıoğlu\, and Jordi Vilà-Casadevall.\n
LOCATION:https://researchseminars.org/talk/GANT/83/
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