平特五不中

Title:聽The (virtual) cactus group.

础产蝉迟谤补肠迟:听

I will introduce the cactus group, a relative of the braid group. Like its more famous cousin, it appears naturally in representation theory and is the fundamental group of a very natural space. I will describe this space, called the moduli space of genus 0 real curves. Then I will discuss a variant of the cactus group, which we call the virtual cactus group. Along the way, we will see the solution to the following question: what is the space of solutions to the equation

a+b=c, where a,b,c are elements of RP1?