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SUMMARY:Sumeet Khandelwal
DTSTART:20201113T184000Z
DTEND:20201113T194000Z
DTSTAMP:20260423T004755Z
UID:Pizza/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Pizza/10/">T
 he Hairy Ball Theorem</a>\nby Sumeet Khandelwal as part of Pizza Seminar\n
 \n\nAbstract\nThe focus of this talk is representation of Clifford algebra
  and geometry to show some results for maximum number of independent vecto
 r field on n-sphere. I will present a simple proof of the "hairy ball theo
 rem" (exact result for 2-sphere)\, which says that a ball cannot be contin
 uously covered with hairs that are all flattened that uses ideas from alge
 braic topology. The talk will then cover spinors which are spin representa
 tion of Clifford algebra. Using some basic results in representation theor
 y of Clifford algebras another easy solution will be presented to prove th
 e existence of the above number of independent vector field in n-sphere.\n
LOCATION:https://researchseminars.org/talk/Pizza/10/
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