**Speaker**: Erez Lieberman (Harvard)

**Title**: Evolutionary Graph Theory

**Abstract**:
Evolutionary processes may be dramatically amplified or
completely suppressed by the effects of spatiotemporal structure.

Given an arbitrary coloring on a weighted digraph *G*, define an
iterative process in which the color of one vertex replaces the color of
a neighboring vertex with probability proportional to some
characteristic
chromatic fitness. Assuming monochromatic absorbing states, the system
is
absorbed into a given state with probability *rho(G)* after characteristic
time *tau(G)*. This talk will discuss how these functions vary with *G*.

The applications of evolutionary graph theory to the study of theoretical anatomy will be explored. As a concrete example, the structure of epidermal tissue, and in particular the role of stem cells, will be treated.

Further topics - including cascade hypergraphs, chromatic diffusivity, spatial games, and scalefree amplifiers - will be introduced as time allows.