The symplectic geometer Andreas Floer, in his short life (1956-1991), made seminal contributions that continue to reverberate through mathematics and physics. Aimed at a broad mathematically curious audience, "Floer's Jungle" describes the historical development of basic mathematical ideas.
Queen Dido’s problem (814 BC) of maximizing area enclosed by a given perimeter---an optimization problem---is the first instance of a variational problem.
Over the centuries it became clear that interesting variational problems are everywhere; mathematicians developed many ideas to deal with such problems, culminating in Floer’s breakthrough.
This lecture gives a glimpse of what doing mathematics looks and feels like---the messy, thrilling, often overwhelming process---and how the people who do it live, interact, rejoice, despair.