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UID:www.tcs.tifr.res.in/event/698
DTSTAMP:20230914T125934Z
SUMMARY:Progression-Free Sets in $Z_p^n$\, and Applications
DESCRIPTION:Speaker: Aditya Potukuchi (Rutgers University\nDepartment of Co
 mputer Science\nUnited States of America)\n\nAbstract: \nIn this talk\, I 
 would like to attempt to give a brief glimpse at and around the recent dev
 elopments related to the Cap Sets problem:\n\nRecently\, there has been a 
 string of breakthrough results which started with a paper of Croot-Lev-Pac
 h\, related to bounds on progression free sets in $Z_4^n$. This was follow
 ed up by a great improvement to a longstanding problem on the bound on Cap
  Sets (progression free sets in $Z_3^n$) by Ellenberg-Gijswijt. The proof 
 is surprisingly simple\, and has found several applications\, most notably
  in proving the Erdos-Szemeredi Sunflower conjecture\, improvements in bou
 nds on tri-coloured sum free sets\, great improvements in removal lemmas i
 n $Z_2^n$ etc..\n\n\n \n
URL:https://www.tcs.tifr.res.in/web/events/698
DTSTART;TZID=Asia/Kolkata:20160722T160000
DTEND;TZID=Asia/Kolkata:20160722T173000
LOCATION:A-201 (STCS Seminar Room)
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