Monday, August 28, 2017

Sala de seminarios del 5to. piso del DIM U.Chile. 

  • 4 pm. Matteo Rizzi (CMM U. Chile)

 Title: Cahn-Hilliard equation and Willmore surfaces

Abstract: There are many results in the literature concerning the relation between the Allen-Cahn equation and minimal surfaces. In this talk I will present some analogue results for the Cahn-Hilliard equation, that is a fourth order PDE which is related to the Willmore energy through some Gamma-convergence results. I will present results in dimension 2 and 3, concerning the construction of solutions, and I will briefly discuss some qualitative properties.

  •  5 pm. Mauricio Romo (Institute for Advanced Study, Princeton, USA)

Title: Derived Categories, gauge theories and analytic continuation

Abstarct: In this talk I will introduce the concept of Gauged Linear Sigma Model (GLSM), a class of quantum field theories, in mathematical terms. I will show how the GLSM can be used to conjecture derived equivalences (of categories such as coherent sheaves on projective spaces and a matrix factorizations) and how this translates into analytic properties of physical quantities.

Past Seminars

 

 “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