Alladi Ramakrishnan Hall

Some aspects of Minimal surfaces, maximal surfaces and solitions.

Rukmini Dey

ICTS

I will introduce minimal surfaces and explain the
Weierstrass-Enneper representation of a minimal surface using hodographic
coordinates. I will mention an interesting link between minimal surfaces
and Born-Infeld solitons. I will talk about some identities we obtain from
certain simple Ramanujan's identities. If time permits, I will introduce
maximal surfaces in Lorentzian space and talk about analogous results
corresponding to these surfaces.