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CATEGORIES:Discrete Analysis Seminar
SUMMARY:Modern applications of classical number theory - C
ong Ling (Imperial College London)
DTSTART;TZID=Europe/London:20191106T134500
DTEND;TZID=Europe/London:20191106T144500
UID:TALK131809AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/131809
DESCRIPTION:Number theory has been a subject of pure mathemati
cs for a long period of time. One big change in re
cent decades is that it has become an applied subj
ect\, driven by numerous applications to modern in
formation technology. This talk will highlight som
e new applications of number theory\, especially l
attices and algebraic number theory\, to the desig
n of capacity-achieving codes for wireless communi
cations and to the construction of cryptosystems w
ith resilience against quantum attacks (aka post-q
uantum cryptography). Two open problems will be pr
esented\, which are hopefully interesting to numbe
r theorists. One problem lies at the foundation of
the NTRU cryptosystem\, which involves the ratio
of two random polynomials with coefficients 0\, +1
\, -1. The other is concerned with beta-expansion
(or Bernoulli convolution) for the design of polar
codes in the upcoming 5G mobile networks.
LOCATION:MR5\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
CONTACT:Peter Varju
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