Stephen Liu, Temple University
This is a continuation of the sequence of meetings on algebraic groups. Generalizing the example of upper triangular matrices in $GL_n$, we will introduce Borel subgroups. We will prove that the quotient of a connected affine group by a Borel subgroup is a projective variety. We will also define parabolic subgroups and Cartan subgroups, if time permits, and conclude with some results on the structure of parabolic subgroups.