Algebraic Geometry Working Seminar

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"An Introduction to GIT Quotients"

Given an algebraic group G acting on a variety X, it is generally not true that the quotient X/G will also be a variety (or even a scheme). However, in certain cases we can use the data of the action of G on X to construct a variety Y and a morphism X->Y, called the GIT quotient of X by G, which has the nice geometrical properties we would like the orbit space X/G to have. In this talk I aim to give a brief introduction to GIT quotients and its relation to symplectic reduction through the Kempf-Ness theorem.

This seminar will be held both online and in person:

• Room: MC 5501
• Zoom link: https://uwaterloo.zoom.us/j/98347327227?pwd=anFGNjRsd0ZPUk10SW9vQVNqL3Z0UT09