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Keynote Talk - I will review some of the open questions in the structure and evolution of low mass stars, emphasizing where observations and theoretical modeling don't agree. I will in particular review the importance of element diffusion in the evolution and surface abundances of low-mass stars. I will talk about the importance of the position of the convective boundaries (proper positioning of the boundaries, overshooting, semiconvection,...) during the main sequence and core helium burning stages of evolution. I will also briefly present the problems encountered on the Red Giant Branch (role of thermohaline mixing, location of the bump).
