|DATE||July 24 (Fri), 2020|
|TITLE||The total coordinate ring of a toric variety and toric GIT|
This is the second lecture. Every simplicial projective toric variety is a Mori dream space, and the Cox ring is the total coordinate ring. Thus every toric variety is a GIT quotient of affine space by algebraic torus. I talk about the GIT constructions of toric varieties, and introduce the secondary fans.