Model Theory and Applications

Collection Model Theory and Applications

Organizer(s)
Date(s) 26/03/2018 - 30/03/2018
00:00:00 / 00:00:00
5 18

I will mention some combinatorial problems related to dense structures. For example, if n points in the plane determine cn2 lines with at least three 6 points on them, then one expects that many of the points are in a special position. Potential tools to analyse such arrangements are Regularity Lemmas and combinatorial variants of the Group Configuration Theorem. Unfortunately even these powerful techniques are not enough to answer some simple questions. For example in the point-line arrangement described above, one would expect that if n is large enough then some (say 10) points are on an elliptic curve, but this problem seems to be out of reach.

Information about the video

  • Date of recording 26/03/2018
  • Date of publication 27/03/2018
  • Institution IHP
  • Format MP4

Domain(s)

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback