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Event

Joel Kamnitzer (ÎÛÎÛ²ÝÝ®ÊÓƵ University)

Tuesday, September 5, 2023 12:15
Burnside Hall Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: The (virtual) cactus group.

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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?

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