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I will begin by briefly recalling the relationship between complex projective algebraic geometry and symplectic topology, which goes through Kaehler manifolds. I will then survey results from the end of the last century, largely due to Seidel and McDuff, about the symplectic topology of…

Consider an infinite Erdös-Renyi graph indexed by {0,1,2,...}. A random walk proceeds as follows: from i, choose a neighbor j with probability proportional to 1/2^j. This walk has a stationary distribution and, starting from i, converges in log*(i) steps (necessary and…