Vasily Dolgushev, Temple University
Let K be an algebraically closed field and k be a subfield of K. I will give a brief review of varieties and their morphisms over K. I will talk about k-structures on varieties and introduce morphisms of varieties defined over the smaller field k. If time permits, I will also talk about the functor of points. I will follow Borel's presentation of this material from Chapter "AG" in his book "Linear Algebraic Groups".