Mathematics Program Presents
Cutting the Plane with Lines: The Study of Arrangements
Wednesday, September 7, 2022
RKC 111
12:00 pm – 1:00 pm EDT/GMT-4
12:00 pm – 1:00 pm EDT/GMT-4
Moshe Cohen, SUNY New Paltz
A line arrangement is a finite collection of lines in the plane. We can study a line arrangement using algebra and geometry by looking at equations of lines as in high school algebra. We can study this using combinatorics by looking at the points that are intersections of lines. We can study this using topology by looking at the complement -- the leftover space. We can ask if the combinatorial information forecasts the topological information of the complement by studying the moduli space of all geometric realizations. I will introduce several fun problems for us to work on to help acquaint ourselves with this topic and its many complexities. No specific background is required.For more information, call 845-758-6822, or e-mail [email protected].
Time: 12:00 pm – 1:00 pm EDT/GMT-4
Location: RKC 111