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SUMMARY:Florian Breuer (University of Newcastle)
DTSTART:20241030T160000Z
DTEND:20241030T170000Z
DTSTAMP:20260418T070126Z
UID:LNTS/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/141/">C
 oefficients of modular polynomials</a>\nby Florian Breuer (University of N
 ewcastle) as part of London number theory seminar\n\nLecture held in Huxle
 y 140\, Imperial College.\n\nAbstract\nFor a positive integer $N$\, denote
  by $\\Phi_N(X\,Y)$ the elliptic modular polynomial of level $N$ -- it van
 ishes at pairs of $j$-invariants of elliptic curves linked by a cyclic iso
 geny of degree $N$ and plays an important role in various cryptosystems. T
 he coefficients of $\\Phi_N$ are notoriously large. In this talk\, I prese
 nt joint work with Fabien Pazuki and Desir'ee Gij\\'on G\\'omez proving ex
 plicit upper and lower bounds on the size of these coefficients.\n
LOCATION:https://researchseminars.org/talk/LNTS/141/
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