Leo Tzou (The University of Melbourne) will be giving a talk on Tuesday 18th February at 11am in Carslaw 375. Afterwards we will go to lunch. Title: Geodesic Levy Flight and the Foraging Hypothesis Abstract: The Levy Flight Foraging Hypothesis is a widely accepted dogma which asserts that animals using search strategies allowing for long jumps, also known as Levy flights, have an evolutionary advantage over those animals using a foraging strategy based on continuous random walks modelled by Brownian motion. However, recent discoveries suggest that this popular belief may not be true in some geometric settings. In this talk we will explore some of the recent progress in this direction which combines Riemannian geometry with stochastic analysis to create a new set of properties for diffusion processes.