# Geometry Seminar

## Parallel Transport and Holonomy

Sema Salur, University of Rochester

Tuesday, February 11th, 2020
3:30 PM - 4:30 PM
Hylan 1106A

Examples of $n$-dimensional Ricci flat manifolds are Riemannian manifolds whose holonomy groups $Hol(g)$ are subgroups of $SU(n)$, for $n=2m$, and subgroups of the exceptional Lie group $G_2$, for $n=7$. We call them Calabi-Yau and $G_2$ manifolds, respectively. They are also examples of manifolds with special holonomy and have many important applications in geometry, topology and physics. In this talk, we first give definitions of parallel transport and holonomy and then a survey of recent research on the manifolds with special holonomy. The talk will be accessible to undergraduate students.

Event contact: sema dot salur at rochester dot edu