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 |