# An invariant-theoretic view of the Cox ring and effective cone of \bar{M}_{0,n}

Tuesday, November 5, 2013 -

4:30pm to 5:30pm

I'll discuss joint work with Brent Doran and Dave Jensen in which we use an "algebraic uniformization" of \bar{M}_{0,n} to study the Cox ring and effective cone. This construction exhibits this moduli space as a non-reductive GIT quotient of affine space and reveals a precise sense in which it is "one G_a away" from being a toric variety. We find, in particular, that for n \ge 7 the Cox ring contains far more information than the effective cone and that several new phenomena arise that do not occur for n \le 6.

Speaker:

Noah Giansiracusa

U.C. Berkeley

Event Location:

Fine Hall 322