**“On the mathematical theory of graphene and its artificial analogues”**

*Professor Michael I Weinstein, Columbia University*

Graphene is a two-dimensional material made up of a single atomic layer of carbon atoms arranged in honeycomb pattern. Many of its remarkable electronic properties, e.g. quasi-particles (wave-packets) that propagate as massless relativistic particles and topologically protected edge states, are closely related to the spectral properties of the underlying single-electron Hamiltonian: -Laplacian + V(x),where V(x) is a potential with the symmetries of a hexagonal tiling of the plane. Taking inspiration from graphene, there has been a great deal of activity in the fundamental and applied physics communities related to the properties of waves (photonic, acoustic, elastic,…) in media whose material properties (e.g. refractive index) have honeycomb symmetry. In this talk I will discuss progress on the mathematical theory.

**Reception 4th floor 3:30 – 4:30 p.m.**

### Details

Stefan and Adele Bergman Memorial LectureFebruary 8, 2018

4:30 PM - 5:30 PM

### Location

Math 380-WBuilding 380

Stanford University

Stanford CA 94305