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24 Mar, 2017 · 12:30 al 24 Mar, 2017 · 13:30 Instituto de Matemáticas de la Universidad de Granada (IEMath-GR)

Seminario de Geometría “Maximal surfaces, Born-Infeld solitons and Ramanujan’s identities”.

Conferencias, seminarios, divulgación científica


  • Fecha: Viernes 24 de Marzo, 2017
  • Lugar: IEMath-UGR. Seminario 1ª planta.
  • Horario: 12:30 – 13:30 h.
  • Descripción: In this talk, we will explain how one can obtain the Weierstrass- Enneper representation for maximal graphs( assuming that the Gauss map is one-one) in hodographic coordinates by making an observation that the maximal surface equation and Born-Infeld equation are related upto a wick rotation. This observation also gives us a way to construct a one parameter family of complex Born-Infeld solitons (solutions of Born-Infeld equation) from a given one parameter family of maximal surfaces. We also show that a Born-Infeld soliton can be realised either as a spacelike minimal graph or timelike minimal graph over a timelike plane or a combination of both away from singular points. Next we show the existence of a maximal surface containing a given spacelike closed curve and having a special singularity. Finally, we show the connection of maximal surfaces to analytic number theory through certain Ramanujan’s identities.
  • Organiza: Instituto Universitario de Matemáticas IEMath-GR
  • Más información: iemath@ugr.es | http://iemath.ugr.es/

Detalles

Fecha:

24 marzo

Hora:
12:30 - 13:30