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SUMMARY:Antoine Leudière (University of Calgary)
DTSTART:20250529T203000Z
DTEND:20250529T213000Z
DTSTAMP:20260410T094726Z
UID:SFUQNTAG/144
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/144
 /">A computation on Drinfeld modules</a>\nby Antoine Leudière (University
  of Calgary) as part of SFU NT-AG seminar\n\nLecture held in K9509.\n\nAbs
 tract\nThe development of algebraic geometry has shed light on deep simila
 rities between the classical number theory (characteristic zero\, number f
 ields)\, and its positive characteristic analogue (centered on curves and 
 function fields). The latter turned out easier to work with: from a theore
 tical point of view\, some results are unconditional (e.g. Riemann hypothe
 sis for function fields)\; from a computational point of view\, a lot of e
 lementary procedures can be performed efficiently (e.g. polynomial factori
 zation\, as opposed to integer factorization).\n\nIn this talk\, we will m
 otivate Drinfeld modules: objects that play the role for function fields t
 hat elliptic curves play for number fields. We will give the example of th
 e computation of a group action from Class Field Theory whose classical an
 alogue is used in isogeny-based cryptography\, and rather slow to compute.
 \n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/144/
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