This workshop will bring together prominent international and Australian experts in geometric analysis. The focus will be on two related areas: curvature flows, and geometric differential equations on homogeneous spaces. Both of these areas are currently enjoying rapid development and finding numerous applications. The main aim of the workshop will be to bridge the gaps between these areas by providing a stimulating environment for discussions, which will serve as a basis for further collaborations. A carefully thought-out list of speakers (including a wide range of established, female, early-career, and student mathematicians) will ensure a diverse group of attendees and a vibrant, highly collaborative atmosphere.