Monday October 2, 2017
Sala Multimedia 6to piso  CMM
4.pm:  Hanne van der Bosch (CMM, UChile)
Spectrum of Dirac operators describing Graphene Quantum dots
Abstract:
Low energy electronic excitations in graphene, a two-dimensional lattice of carbon atoms, are described effectively by a two–dimensional Dirac operator. For a bounded flake of graphene (a quantum dot), the choice of boundary conditions determines various properties of the spectrum. Several of these choices appear in the physics literature on graphene. For a simply connected flake and a family of boundary conditions, we obtain an explicit lower bound on the spectral gap around zero. We can also study the effect of the boundary conditions on eigenvalue sums in the semiclassical limit.
This is joint work with Rafael Benguria, Søren Fournais and Edgardo Stockmeyer.
Mini Course:
  1. Tuesday October 10, 2017 (10:15am-11:45pm)
  2. Thirsday October 12, 2017 (10:15am-11:45pm)
  3. Tuesday October 17, 2017 (10:15am-11:45pm)
  4. Thirsday October 19, 2017 (10:15am-11:45pm)
Sala de Seminarios 5to. piso,  DIM
Jean Dolbeault (Ceremade, U. París Dauphine)
Nonlinear flows and optimal functional inequalities. 

 

 “Longtime Behaviour of Nonlinear Waves”,  June 8-12, Bielefeld University, Bielefend, Germany. (Claudio Muñoz).

 “Inverse Problems in the Physical Sciences”, August 3-5, Santiago, Chile. (Claudio Muñoz).

 “II-Workshop in Nonlinear Dispersive Equations”, Octubre 6-9, Campinas, Sao Paulo, Brazil. (Claudio Muñoz).

 “New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems” October 19 – 30, MSRI, Berkeley, California, USA. (Claudio Muñoz).

“3rd Chile-Japan Workshop on Nonlinear PDEs”,  December 8 -11, Osaka University, Osaka, Japan. (Claudio Muñoz).

“Nonlinear elasticity and fractures”, June 23-24, Pontificia Universidad Católica de Chile, Santiago, Chile. (Duván Henao).

 The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. July 1 – July 5, 2016, Orlando, Florida, USA. (C. Muñoz, F. Mahmoudi, I. Guerra).

 “International Conference On Local and non local Partial Differential Equations”, April 24 – 26, New York University Shanghai, China. (Mónica Musso).

“Recent Trends and Geometric Analysis”, June 1-5, Marseille, France. (Mónica Musso).

Future Events

First Belgium-Chile-Italy Conference en PDE’s”, Université Libre de Bruxelles, Belgium, November  13-17 , 2017.

MathAmSud project EEQUADD (Nonlinear and Fractional Evolution EQUAtions: Dispersion, Dynamics, well-posedness and Functional Analytic tools)”, CMM, Universidad de Chile, December  4-7 , 2017.

Past Events

Variational Models of Soft Matter”, Pontificia Universidad Católica de Chile, Santiago, 9-13 January 2017.

2nd. Workshop on Nonlinear Evolution Equations”,  Universidad Austral de Chile, Valdivia, December 12-16 2016.

Third Sino-Chilean Conference on Nonlinear Partial Differential Equations and Nonlinear Analysis, December 9-12 2016, Wuhan, China.

CAPDE School on Nonlinear Partial Differential Equations, September 28-October 5, 2016.

Conference on Nonlinear Elliptic PDEs at the End of the World, Universidad de Magallanes, Punta Arenas, Chile, March 2-6, 2015.

Third Chile Japan Workshop on Nonlinear PDEs, Osaka University, Japan. December 8-11, 2015