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Wednesday, September 20, 2017
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September 2017
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2:00pm [2:00pm] Prajakta Sahasrabuddhe
Description:
Title : Hairy balls, fixed points and coffee!!! Abstract : Singularities occur naturally everywhere around us, may it be an eye of a cyclone where there is no wind at all, or the north pole where the different time zones converge. The purpose of this talk is to study these patterns mathematically. Hairy ball theorem precisely states that: An even dimensional sphere does not possess any continuous nowhere vanishing tangent vector field". The basic notions of tangent vector field, fundamental groups, some concepts of point set topology will be discussed (at least intuitively) and then a geometric proof of the theorem will be studied. It will be followed by a few applications in the end.

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