Invited_talk abstract details

Spurred by the observations of rapidly rotating stars, theoreticians have spent many years developing models for these stars and studying their pulsation modes. This has led to the discovery of new classes of pulsation modes and new phenomena. The space-based observations by CoRoT and Kepler are yielding data with unprecedented accuracy, which present both a challenge to the theory and a unique opportunity to further develop it. In this talk, I will review the different types of pulsation modes in rapidly rotating stars and the historical development of various methods used to study them.