Speaker:

Andreas Hochenegger

Title:

Maps between Mori Dream spaces

Abstract:

Maps between toric varieties can be lifted to maps between their Cox rings, if one is allowed to modify the Cox ring of the domain a bit. This was shown by Gavin Brown and Jarosław Buczyński. In a work in progress with Elena Martinengo, we note that this idea becomes more natural when considering quotient stacks. We also extend this lifting to maps between Mori Dream spaces. In my talk, I present these ideas and further directions