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Author Archives: Osip Surdutovich
9th Friday: CAT(0) Cube Complexes!
Last time we dug into random groups — MurphyKate’s favorite kind of group (until she heard my presentation on braids). We also covered the Gromov density model and small cancellation. Some of the key points picked up can be summed … Continue reading
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Wednesday Week 7: More hyperbolic spaces!
Introduction Last class, wonderfully recounted by Michaela, we learned about hyperbolic groups and defined the terms quasiisometry and quasiisometric. Importantly, we showed that there is a quasiisometry between any group and its Cayley graph, and that two Cayley graphs of … Continue reading
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Wednesday Week 5: Automata
Introduction Last class we discussed normal forms, which was wonderfully recapped in this Wednesday’s blog post by Akash. Today we will pretend that we are computer scientists and focus on languages and automata. Although it may seem a bit random … Continue reading
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Friday of Week 1: Cayley’s “Better” Theorem and Fundamental Domains
Class got a bit more technical on this fine Friday morning! We began with Cayley’s Good Theorem and went into details about graph theory. Furthermore, we learned about fundamental domains as a building block to representing infinite groups through graphs.Cayley’s … Continue reading
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