Title: Global quotient structure of moduli of orbifold stable maps
Speaker: Professor Hsian-Hua Tseng
Speaker Info: University of British Columbia & MSRI
Special Note: The speaker will arrive on January 18 (early morning) and leave on January 28 (afternoon).
Global quotient stacks (that is, stacks which are quotients of schemes by linear algebraic groups) form a particularly nice class of stacks. In the study of orbifold Gromov-Witten theory, properties of moduli of orbifold stable maps play an important role. In joint work with D. Abramovich, T. Graber, and M. Olsson, we prove that the moduli stack of orbifold stable maps to a quotient stack is a quotient stack. In this talk we'll discuss the proof of this result and its consequences.Date: Friday, January 20, 2006