The stack of stable log maps and its product structure -- Qile Chen, September 23, 2011

The theory of stable log maps was developed recently by Abramovich-Chen-Gross-Siebert to generalize the notion of relative stable maps. I will introduce the construction of the stack of stable log maps relative to a Cartier divisor. By using the product structure, we will generalize the result to the case of target varieties with log structure of Deligne-Faltings type.