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SUMMARY:Partitions with Modular Forms - Nicky Wong
DTSTART:20220422T140000Z
DTEND:20220422T150000Z
UID:TALK173063@talks.cam.ac.uk
CONTACT:106940
DESCRIPTION:A very old question in combinatorics: for n>1\, what can we sa
 y about p(n)\, the number of partitions of n? In 1919\, Ramanujan proved t
 hat p(5n-1) is always divisible by 5\, part of a collection of results kno
 wn as Ramanujan's congruences. In this talk\, we try to explore (a bit) th
 e realm of modular forms and how these functions allow us to obtain unexpe
 cted number theoretic and combinatorial results. We will go through the pr
 oof sketch of one of the theorems\, possibly with other unexpected formula
 e along the way!
LOCATION:Zoom
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