When nonlinear dynamical components interact through complex networks, interesting collective behaviors can emerge. A natural example is synchronization, in which system-level coherence spontaneously emerge from decentralized interactions. A large body of literature has focused on the emergence of global synchrony among identical components, generating important insights such as how network structures influence the local stability of synchrony. In this talk, I will explore extensions of this paradigm by adding complexities along three different directions: What happens when the components are allowed to be different (introducing disorder)? What new phenomena can we find when components are allowed to behave differently (partial synchrony and chimeras)? And, finally, what kind of landscapes will we find ourselves in when we zoom out from the vicinity of the synchronized state? Speaker(s): Yuanzhao Zhang (Santa Fe Institute)