Studying Apollonian Circle Packings using Group Theory

Описание к видео Studying Apollonian Circle Packings using Group Theory

This video is in response to a colleague who asked for short videos about how we use group theory in our research. One of my interests is Apollonian circle packings.

Some links:

Wikipedia: https://en.wikipedia.org/wiki/Apollon...

An article in New Scientist by Dana Mackenzie: https://www.americanscientist.org/art...

A good math paper to start: https://arxiv.org/abs/math/0009113

The main result I mention at the end, in the direction of the local-global conjecture, is due to Bourgain and Kontorovich:

https://link.springer.com/article/10....

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