Invitation to Julia by David P. Sanders at JuliaCon 2015. Supporting material here.
David P. Sanders gave a detailed Julia tutorial at SciPy 2014, which is a great starting point for a new Julia user. Also download the relevant IJulia notebooks that are used in the tutorial.
JuliaCon 2015 videos. 61 videos on a wide range of subjects, from the future of the core language to using parallel programming and air traffic control.
Free probability, random matrices and disorder in organic semiconductors by Jiahao Chen with the related slides and IJulia notebook.
How Julia Goes Faster by Leah Hanson in December 2014.
JuliaCon 2014 featured a number of talks on various aspects of Julia and its development. Slides and IJulia notebooks are on Github.