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DESCRIPTION: In this talk we will look at a new variant of the polynomial m
ethod which was first used to prove that sets avoiding 3-term arithmetic pr
ogressions in groups like Z 4 n (Croot\, Lev and myself) and Z
3 n (Ellenberg and Gijswijt) are exponentially small (compared to the s
ize of the group). We will discuss lower and upper bounds for the size of t
he extremal subsets\, including some recent bounds found by Elsholtz and my
self. We will also mention some further applications of the method\, for in
stance\, the solution of the Erd ő s-Szemerédi sunflower conjecture.
DTSTAMP:20181216T131500
DTSTART:20190107T141500
CLASS:PUBLIC
LOCATION:Freie Universität Berlin \n Institut für Informatik \n Takustr. 9
\n 14195 Berlin \n Room 005 (Ground Floor)
SEQUENCE:0
SUMMARY:Péter Pál Pach (Budapest University of Technology and Economics): T
he polynomial method and the cap set problem
UID:94863946@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20190107-L-Pal-Pach.html
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