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BEGIN:VEVENT
UID:20220119T145148EST-3068ad23e6@www.amherst.edu/node/754687
DTSTAMP:20220119T195148Z
CATEGORIES:Amherst Event
DESCRIPTION:What is the maximum number of edges in a graph on <\;i>\;n&
lt\;/i>\; vertices without triangles? Mantel’s answer in 1907—that at mo
st half of the edges can be present—started a new field: extremal combinat
orics. More generally\, what is the maximum number of edges in an <\;i&g
t\;n<\;/i>\;-vertex graph that does not contain any subgraph isomorphi
c to H? What about if you consider hypergraphs instead of graphs? I will i
ntroduce the technique of sums of squares and discuss how it can be used t
o attack such problems.
DTSTART:20191106T213000Z
DTEND:20191106T213000Z
LOCATION:Seeley G. Mudd Building\, 206
SUMMARY:Math Colloquium: “Turán’s Problem and an Introduction to Sums of Sq
uares” by Annie Raymond
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