Fall 2020
General Information
Weekly Plan
Weekly Plan
| Day | Topic (and a video link) |
|---|---|
| Aug 24 | Overview |
| Aug 26 | Nielsen's Method |
| Aug 31 | Nielsen's Method, fundamental group |
| Sep 2 | Covering Theory |
| Sep 9 | Cayley graph, Hawaiian earring |
| Sep 14 | Free product with amalgamation, Seifert--van Kampen theorem |
| Sep 16 | Seifert--van Kampen theorem |
| Sep 21 | graph of groups, HNN extension |
| Sep 23 | Undecidability of Word Problem |
| Sep 28 | Hyperbolic groups |
| Sep 30 | Dehn function, groups acting on trees |
| Oct 5 | Curves on Surfaces |
| Oct 7 | Geometric intersection number |
| Oct 12 | Spiders |
| Oct 14 | Birman exact sequence |
| Oct 19 | Dehn–Nielsen–Baer theorem |
| Oct 21 | Pseudo-Anosov maps |
| Oct 26 | More about train tracks |
| Oct 28 | Final remarks on Mapping class groups |
| Nov 2 | Hurwitz equivalence |
| Nov 4 | Bisets |
| Nov 9 | Iterated Monodromy Groups |
| Nov 11 | Symbolic Dynamics: Coding Tree |
| Nov 16 | Symbolic encodings of Julia sets |
| Nov 18 | Twisting rabbit problem |
| Nov 30 | The Basilica IMG Group |
| Dec 2 | Amenability |
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