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Thursday, November 14
Mathematics Colloquium: Linowitz
03:35 PM - 04:30 PM
Location: Science Center Room 323
Cost: Free and open to the public

Speaker: Ben Linowitz, Oberlin College

Host: Jonathan Brown

Title: Can you hear the shape of a drum?

Abstract: In 1966 Mark Kac asked, in the American Mathematical Monthly, "Can one hear the shape of a drum?" In other words, can you determine the shape of a drumhead from the sound that it makes, the list of its basic harmonics? In 1992 it was shown that the answer to this question is "No, one cannot hear the shape of a drum." Over the years many variations of this problem have been considered. In this talk we will consider this problem in the case that our drums are negatively curved; i.e., are hyperbolic surfaces. We will define hyperbolic surfaces and then use algebra and number theory in order to construct a pair of surfaces that prove that "One cannot hear the shape of a hyperbolic drum."

Refreshments are available at 3:00 PM in SC 313F.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend.

Contact Information:
Name: Paul Eloe