For more information about this meeting, contact Ping Xu, Mathieu Stienon, Nigel Higson.
| Title: | The world's simplest index theorem and noncommutative topology |
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| Seminar: | GAP Seminar |
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| Speaker: | Erik Van Erp |
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| Abstract: |
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| I present an index theorem for a class of scalar differential
operators on closed 3-manifolds. The index is expressed as a sum of
explicit winding numbers. These Fredholm differential operators,
however, are not elliptic, and the formula will appear strange to
those familiar with the Atiyah-Singer index theorem. Nevertheless, we
will explain how our formula can be derived from the theorem of
Atiyah-Singer, using techniques from noncommutative topology. A
crucial modification is a re-interpretation of the notion of "symbol",
and its associated K-theory class. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 23 / 2010 |
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| Time: | 02:30pm - 03:30pm |
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