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When is a hole a hole?

Anders Ditlev Jakobsen
Foredrag for studerende
Fredag, 11 april, 2014, at 15:15-16:00, in Koll. G3 (1532-218)
Abstrakt:

When collecting any form of data a natural question to ask is which properties does the global shape of this data have?

I will try to answer this using Algebraic Topology, specifically Persistent Homology. Homology is an invariant counting the number of holes in a given shape, while 'persistence' measures the significance of said hole.

I will introduce all the objects and ideas needed for the construction and in the end give some 'real world'  examples where this technique has been used.

The talk will be fully understandable for those who have taken the 'intro.  to topology' course (and will introduce a very nice application of the techniques introduced). Everyone should be able to get a grasp of the general idea and intuition.

Kontaktperson: Thomas Lundsgaard Schmidt