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Description: |
In differential geometry, a differential structure on a topological space allows us to see locally our space like a Euclidean space. A foliation structure on a differential manifold allows us to see the manifold, locally as a family of "horizontal" (lines/planes/hyperplanes...) and then intuitively locally like a book, in which the dimension of the leaves(pages) is less than the dimension of the ambient manifold. The "dynamical" concept of Holonomy is very important to study the behavior of the leaves near a fixed compact leaf (if it exists). In this talk, I will briefly recall the notion of the fundamental group of a topological space, and a quick introduction of what is a foliated manifold. Furthermore, we will construct the holonomy group of a leaf and give some classical examples.
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Date: |
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15:00 |
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Speaker: |
Hamza Bakhouch (UC|UP PhD student)
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Institution: |
CMUP, Universidade do Porto
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Place: |
Sala 2.5, DMUC
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See more:
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<Main>
<UC|UP MATH PhD Program>
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