For more information about this meeting, contact John Roe, Dmitri Burago.
| Title: | Making invisible geometric objects |
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| Seminar: | Geometry Luncheon Seminar |
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| Speaker: | Gregory Galperin, Eastern Illinois University |
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| Abstract: |
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| In my talk, I will show some examples of ``invisible
geometric objects''. This means that light bends around the object,
causing it to become as if it were invisible. When designing such
objects, the billiard law of reflection will play a crucial role. The
main example in my talk will concern the billiard reflection in
ellipses and hyperbolas.
To prove that the reflection in my design is indeed _billiard_, it is
necessary to prove a tricky lemma about the angle bisector of a
triangle. If time permits, I will provide a proof of this lemma. All
necessary definitions and explanations will be given during the talk. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 04 / 13 / 2011 |
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| Time: | 12:20pm - 01:30pm |
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