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SUMMARY:Katerina Santicola (University of Warwick)
DTSTART:20250521T150000Z
DTEND:20250521T160000Z
DTSTAMP:20260418T070331Z
UID:LNTS/164
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/164/">S
 harp interpolation of rational points and post-quantum cryptography</a>\nb
 y Katerina Santicola (University of Warwick) as part of London number theo
 ry seminar\n\nLecture held in K2.40\, King's Building\, King's College Lon
 don\, WC2R 2LS.\n\nAbstract\nFor curves\, it is more or less conjectured t
 hat the Chabauty method with the Mordell–Weil sieve will give a polynomi
 al-time algorithm for finding the sets of rational points over number fiel
 ds. Whether this is true for arbitrary varieties is unclear. Over finite f
 ields the situation is different. This is the MQ problem\, which is NP-com
 plete. This problem is the essence of multivariate cryptography and forms 
 the basis of most post-quantum signature schemes. The aim of this talk is 
 to give an overview of the interpolation of rational subvarieties and disc
 uss where this fits in with modern cryptography.\n
LOCATION:https://researchseminars.org/talk/LNTS/164/
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