Title: Crystallographic groups
Abstract: Wallpapers are formed by repeating the same picture in a regular, periodic pattern. Have you ever wondered how many different wallpaper patterns are possible? Just a handful, or a very large number, or infinitely many? In this talk we will explore the answer to this question by considering the symmetries of wallpapers. Such symmetries make up the so-called crystallographic groups, and we will discuss their classification, as well as their connection to modern mathematics.
Biography: Dr. Pallavi Dani is an Associate Professor in the Department of Mathematics at Louisiana State University. She grew up in Mumbai, India and came to the United States to enter a doctoral program. She obtained her PhD from the University of Chicago in 2005. After brief postdocs at the University of Oklahoma and Emory University, she arrived at LSU in 2009. Her research has been funded by grants from the National Science Foundation and the Simons Foundation. In 2016 she was awarded the Ruth I. Michler Memorial Prize by the Association of Women in Mathematics in recognition of her research. Her work revolves around studying groups, which can be thought of as collections symmetries of spaces, from a geometric perspective.