Abstract: Let S = S_g be a closed orientable surface of genus g > 1 and Mod(S) be the mapping class group of $S$. In this talk, we show that the boundary representation of Mod(S) is ergodic, which generalizes the classical result of Masur on ergodicity of the action of Mod(S) on the projective measured foliation space PMF(S). As a corollary, we show that the boundary representation of Mod(S) is irreducible.

ID：821 5134 9008
Code：370777