Manchester Geometry Seminar 2015/2016

The talk is devoted to classical and recent mathematical results which had drawn attention of physicists and chemists in connection with problems of nanotechnology.

• Fullerenes: Nobel Prize 1996 in Chemistry, R. F.Kurl, H. Kroto, R. E. Smalley, "for their discovery of fullerenes";
• Graphene: Nobel Prize 2010 in Physics, A. K. Geim and K. S. Novoselov, "for groundbreaking experiments regarding the two-dimensional material graphene".

We will formulate combinatorial, geometrical, and topological tasks concerning molecular carbon structures in terms of convex polytopes and polygonal partitions of 2-surfaces.

The talk is based on the results obtained jointly with N. Yu. Erokhovets.