# Incidences of lines in 3-space

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János Kollár, Princeton University
Fine Hall 322

Let L be a set of m distinct lines 3-space. Elekes and Sharir conjectured that, aside from some obvious counter examples, the lines in L have at most C m^{3/2} intersection points. This was proved by Guth and Katz. I will explain the proof with some improvements that make the constant C effective.