Speaker: Kamlesh Parwani TITLE: An analog of the Sharkovskii Theorem on the annulus. ABSTRACT: We consider homeomorphisms of the annulus isotopic to the identity. Then it is possible to associate a braid to every periodic point and obtain a partial ordering on these braids. We show that certain complicated braids force simpler ones, demostrating an analog of the Sharkovskii ordering on the real line.