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SUMMARY:Adam Sheffer (City University of New York)
DTSTART:20220310T151500Z
DTEND:20220310T170000Z
DTSTAMP:20260422T065851Z
UID:CJCS/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/47/">A 
 structural Szemerédi–Trotter theorem for cartesian products</a>\nby Ada
 m Sheffer (City University of New York) as part of Copenhagen-Jerusalem Co
 mbinatorics Seminar\n\n\nAbstract\nThe Szemerédi–Trotter theorem can be
  considered as the fundamental theorem of geometric incidences. This combi
 natorial theorem has an unusually wide variety of applications\, and is us
 ed in combinatorics\, theoretical computer science\, harmonic analysis\, n
 umber theory\, model theory\, and more. Surprisingly\, hardly anything is 
 known about the structural question - characterizing the cases where the t
 heorem is tight. We present such structural results for the case of cartes
 ian products. This is a basic survey talk and does not require previous kn
 owledge of the field.\n \nJoint work with Olivine Silier. Also\, a shamele
 ss advertisement of the speaker's new book "Polynomial Methods and Inciden
 ce Theory."\n
LOCATION:https://researchseminars.org/talk/CJCS/47/
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