# Jerusalem Mathematics Colloquium

Thursday, 14th January 2010, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Michel Deza

(Ecole Normale Superieure, Paris/ JAIST, Ishikawa)

"Geometry of virus structure"

** Abstract: **

Since the discovery of molecule of C60 (truncated icosahedron),
fullerenes, i.e., simple polyhedra with only pentagonal and hexagonal
faces, became the main object in Organic Chemistry; the synthesis of C60
was marked by the Nobel prize 1996. Crick and Watson.s article in Nature,
10-3-1956, starts: *"It is a striking fact that almost all small viruses
are either rods or spheres"*. In fact, all virions, except most complex, as
brick-like pox virus, and some enveloped ones, are helical or (about half
of all and almost all human) icosahedral: dual fullerenes with Ih or
chiral I symmetry.

Caspar and Klug, Nobel prize 1982, gave quasi-equivalence principle:
virion minimizes by organizing capsomers in minimal number of locations
with noneqvuivalent bonding, resulting in icosadeltahedral (dual
icosahedral fullerene) structure.

We give an up to date survey on geometries of virion capsids and related
mathematics. It will be an expositary lecture

Light refreshments will be served in the faculty lounge at 3:30.

List of talks, 2009-10

Archive of talks