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BEGIN:VEVENT
DTSTAMP:20210422T115846Z
DTSTART:20210430T140000Z
DTEND:20210430T150000Z
SUMMARY: Ken Ono - Can’t you just feel the moonshine? - Pure Mathematics
Colloquium
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DESCRIPTION:Speaker: Ken Ono\, University of Virginia\n\nSeries: Pure Mat
hematics Colloquium\n\nDate and Time: Friday 30th April 2021\, 3pm - 4pm
\n\nTitle: Can’t you just feel the moonshine?\n\nAbstract: Borcherds won
the Fields medal in 1998 for his proof of the Monstrous Moonshine Conje
cture. Formulated in 1979 by Conway and Norton\, the conjecture asserts
that the representation theory of the Monster\, the largest sporadic fin
ite simple group\, is dictated by a distinguished set of modular functio
ns. This conjecture arose from astonishing coincidences noticed by finit
e group theorists and arithmetic geometers. Recently\, mathematical phys
icists have revisited moonshine\, and they discovered evidence of undisc
overed moonshine which some believe will have applications to string the
ory. The speaker and his collaborators have been developing the mathemat
ical facets of this theory\, and have proved the conjectures which have
been formulated. These results include a proof of the Umbral Moonshine C
onjecture\, and recently the last remaining problem raised by Conway and
Norton in their groundbreaking 1979 paper. The most recent Moonshine yi
elds unexpected applications to the arithmetic of elliptic curves thanks
to theorems related to the Birch and Swinnerton-Dyer Conjecture and the
Main Conjectures of Iwasawa theory for modular forms. This is joint wor
k with John Duncan\, Michael Griffin and Michael Mertens.\n\n\n\n\n\n\n\
n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
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