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SUMMARY:A geometric approach to Ramsey numbers - Marcelo Campos (Cambridge
 )
DTSTART:20241017T133000Z
DTEND:20241017T143000Z
UID:TALK223573@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:Given r and k let R_r(k) be the minimum n such that any\nr-col
 ouring of K_n contains a monochromatic K_k. In 1935 Erd\\H{o}s and\nSzeker
 es proved that R_r(k)\\leq r^{rk}. In this talk I will discuss a\ngeometri
 c approach to improve this upper bound.\nBased on joint work with Balliste
 r\, Bollobás\, Griffiths\, Hurley\, Morris\,\nSahasrabudhe and Tiba
LOCATION:MR12
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