Event time:
Thursday, September 17, 2015 - 12:30pm to 1:30pm
Location:
431 DL
Speaker:
Dhruv Ranganathan
Speaker affiliation:
Yale University
Event description:
Non-archimedean analytic geometry provides a precise geometric connection between tropical curve counting and logarithmic Gromov-Witten theory. This framework leads to a simple new description of the algebraic moduli space of rational curves in toric varieties with prescribed contact orders. Applications include a new proof of Nishinou and Siebert’s tropical curve counting theorems and a new result on the structure of the tropical rational double Hurwitz cycle. Time permitting, I will explain how these ideas lead to a new perspective on the realization problem for embedded tropical curves in higher genus.