PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Becky Halpenny, Flossie Dunlop.

Title:Bezout's theorem
Seminar:PMASS Colloquium
Speaker:Karl Schwede, Penn State
Abstract:
How many times can a line intersect a parabola? You probably said the answer is zero, one, or two. How many times can two ellipses intersect? What if you count imaginary or complex intersection points? Do parallel lines ever intersect? What if we change the rules of the game and consider parallel lines in a twisted pac-man-like world? Bezout's theorem tells us exactly how many times two implicitly defined polynomial curves intersect, provided you count complex intersections, intersections at infinity (where parallel lines meet up), and double/triple/multiple roots correctly.

Room Reservation Information

Room Number:MB113
Date:03 / 21 / 2013
Time:02:30pm - 03:20pm