There are many ways in which two populations can compete for resources and this leads to different forms of selection. A Lambda coalescent is a beautiful mathematical object that describes the genealogy of populations with skewed offspring distributions. We will discuss selection in the context populations in the Lambda universality class. Along the way, we will talk about a novel technique to relate coalescent processes with branching processes and about duality of Markov processes.
Most of the talk is based on joint work with Maria Emilia Caballero (UNAM, Mexico) and Jose Luis Perez (CIMAT, Mexico)