University of Connecticut

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Math Club
The Projective Plane and Projective Space
Mihai Fulger (UConn)

Wednesday, April 10, 2019
5:45pm – 6:35pm

Storrs Campus
Monteith 321

For every real number t, draw the line L(t) through (0,1) and (t,0). When you take your t for a walk on the x-axis to infinity (positive or negative), the line L(t) gets closer and closer to the line y=1, which is parallel to the x-axis. This supports the idea that parallel lines "meet at infinity". But what is this infinity? What if you want to "go to there''? Then projective spaces are your thing.

The projective plane enlarges the real plane by adding one point ("at infinity") for each line direction. It gives a new way of understanding asymptotes. It can be used to reduce results in Euclidean geometry about incidence of lines and collinearity to the easier case where many of the lines are parallel.

Note: Free pizza and drinks!


Keith Conrad (

Math Club (primary)

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