SPECIAL MATHEMATICS COLLOQUIUM
Speaker: Mattia Talpo
Abstract. Algebraic stacks and logarithmic geometry are nowadays important tools in algebraic geometry, the branch of mathematics that studies the geometry of solution sets of polynomial equations. Both theories are enhancements of ordinary algebraic geometry, where the spaces are equipped with extra structure: stacks have stabilizer groups that keep track of "intrinsic symmetry" and log schemes have a specified subset of "monomial" functions. I will start the talk with an overview of these concepts, and then focus on my work concerning interactions between the two areas.