PIMS Distinguished Lecture - Incidences and line counting: from the discrete to the fractal setting

SPEAKER: Professor Pablo Shmerkin, UBC

DATE: Thursday, March 16^th

TIME: 2:15 pm coffee/tea meet & greet, 2:30 pm lecture

LOCATION: DSB room C108

TITLE: Incidences and line counting: from the discrete to the fractal setting

ABSTRACT:

How many lines are spanned by a set of planar points?. If the points are

collinear, then the answer is clearly "one". If they are not collinear,

however, several different answers exist when sets are finite and "how

many" is measured by cardinality. I will discuss a bit of the history of this

problem and present a recent extension to the discretized and continuum

settings, obtained in collaboration with T. Orponen and H. Wang. No

specialized background will be assumed.

Please feel free to share & post the attached poster in your work area and with colleagues.