Arithmetic Study Group: Snake graphs, cluster algebras and continued fractions
23 February 2016 14:00 in CM 107
Snake graphs are planar graphs first appeared in the context of cluster algebras associated to marked surfaces. In their first incarnation, snake graphs were used to give formulas for generators of cluster algebras. Along with further investigations and several applications of snake graphs, they were also studied from a more abstract point of view as combinatorial objects. This talk will report on their link to continued fractions inspired by planar graphs associated to Markov numbers.