#### John Baez

#### May 2, 2014

## Network Theory

We are entering the Anthropocene, a new geological epoch in which the
biosphere is strongly affected by human activities. Thus, just as
20th-century mathematics drew inspiration from physics, we can expect
21st-century mathematics to draw inspiration from biology, ecology and
the environmental problems that confront us. What do category
theorists, of all people, have to say about this? Researchers in many
fields draw diagrams of networks: flow charts, electrical circuit
diagrams, signal-flow graphs, Bayesian networks, Feynman diagrams and
the like. In principle these diagrams fit into a common framework:
category theory. But we are still far from a unified theory of
networks. We give an overview of the theory as it stands now, with an
emphasis on topics for future research, some involving higher categories.

You can see the slides here.

For a series of videos and slides
covering different aspects of network theory, try:

To read more about the network theory project, go here:

© 2014 John Baez (except for image)

baez@math.removethis.ucr.andthis.edu