09/13/2011 - 12:15pm

09/13/2011 - 1:10pm

Speaker:

Dagan Karp (Harvey Mudd College)

Abstract:

I will report on work of Dhruv Ranganathan. We use toric symmetry and degeneration to study the GW theory of P^{1}xP^{1}xP^{1}. The toric blowup of P^{1}xP^{1}xP^{1} at two points and six lines is isomorphic to the toric blowup of P^{3} at four points and six lines; this is the permutohedral variety. Just as permutohedral symmetry can be forced to descend to P^{3}, we use degeneration to show permutohedral symmetry descends to P^{1}xP^{1}xP^{1}. Thus P^{1}xP^{1}xP^{1} and P^{3} share the permutohedral symmetry. In this talk, I hope to give a friendly introduction to the central ideas in this project.

Where:

ML 134