The Mori Dream Space Conjecture asserts that the nef cone of the moduli space \overline M_0,n of stable n-pointed rational curves is finitely generated and that every element is a semi-ample divisor. Conformal blocks divisors form full dimensional sub-cones of semi-ample divisors in the nef cone of \overline M_0,n. In this talk I will discuss different ways to approach understanding whether or not these cones of conformal blocks divisors are finitely generated, and how that might relate to the Mori Dream Space Conjecture.

Pre-talk (background, aimed at graduate students):

Download video of pre-talk.

Talk:

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