Seminars & Colloquia Calendar

Abstract: Mirror symmetry is a field of mathematics that originated in string theory, where particles are replaced by strings and six extra small dimensions are needed to describe the universe. These extra dimensions are wrapped into Calabi-Yau varieties.
Mirror symmetry stems from the observation that Calabi-Yau varieties occur in dual mirror pairs which result in equivalent physical theories. Mirror pairs are of very different geometric nature, but the symplectic geometry of one variety is reflected in the algebraic geometry of its mirror. One of the main challenges in this field is to understand how to construct the mirror to a given Calabi Yau. A first step to understand a symmetry is to find and study its fixed points. In this seminar I will focus on a special class of such fixed points and describe their properties.