Prof. Nicolas Privault will continue his seminar from Tuesday on on Friday, July 30 (2-4 pm, Red Centre, Room 3084) at UNSW. Abstract below. Abstract: We present a unified approach to the main tools of Stochastic Analysis (chaos expansions, gradient and divergence operators, integration by parts) in the framework of normal martingales, which includes Brownian motion and Poisson processes as particular cases. Applications will be given to deviation inequalities, and to hedging and sensitivity analysis in mathematical finance.