The Space of Lagrangian Planes: A Gentle Introduction

Robert Marangell (Sydney)

Abstract

This talk will focus on the geometry of the space of Lagrangian planes $$\Lambda(n)$$. Colloquially, this is the set of real $$n$$ dimensional planes in complex $$n$$ space. I will attempt to describe the space in a number of different, equivalent ways. The main focus will be on understanding the geometry of $$\Lambda(2)$$, but I will occasionally extrapolate to more general dimensions when it is possible.