Arkamouli Debnath, University of Washington

CMU 228
Unlike pointset topology, taking quotients in Algebraic Geometry is not so simple. Finding the correct formulation of taking quotients in Algebraic Geometry (aka Geometric Invariant Theory or GIT) has led to a lot of important research, some of which include the construction of several moduli spaces (such as moduli space of vector bundles on a curve, or moduli of genus g smooth curves etc) and the more recent development of variation of GIT and its link to birational geometry. In this talk I will try to give a brief exposition of this theory with some applications.