Invariants of Braids and Mapping classes, and Applications
Lecture
Winter Term 2014/15
• Elementary introduction to braids and mapping classes.
• Introduction to Teichmüller Theory, including Thurston’s theory of surface homeo-morphisms and his classification of mapping classes.
• Elements of topological dynamics. Entropy of mapping classes.
• The Thirteen’s Hilbert Problem.
• Two braid invariants (entropy and conformal module).
• Applications of the invariants. Relations to the 13th Hilbert Problem, symplecticgeometry and to topological dynamics. The relation between the invariants.
Course language may be English or German depending on the listeners.
For more information see the attached PDF.
http://www.raumzeitmaterie.de/docs/Vorlesungsankuendigung-1.pdf
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