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Courses  


Lecture 1: New representation formulas for the wave operators in potential scattering in R3
July 4, 2012, 16:30 Sala de Seminarios, Deapartamento de Matemáticas, Facultad de Ciencias, Universidad de Chile
Lecture 2: Low energy spectral and scattering theory for relativistic Schroedinger operators
July 5, 2012, 17:00 Sala 2, Facultad de Matemáticas, Pontificia Universidad Católica de Chile

 

Lecture 1: Spectral geometry of the Laplacian
April 18, 2012, 16:30 Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile
Lecture 2: Twisting versus bending in curved quantum waveguides
April 19, 2012, 17:00 Facultad de Matemáticas, Pontificia Universidad Católica de Chile

Differential Operators of Mathematical Physics
Tutorial course, First semester 2012, Monday, 15:30 – 17:00, Facultad de Matemáticas, PUC; Sala 2


Dynamical Systems and Operator Algebras
First semester 2012, Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile


Eigenvalue estimates for Schrödinger-like operators
April 2012
 
The spectral theorem for operators in Hilbert spaces, First Semester 2011
Contents:                                                                                                               
·         Spectral theory and Banach algebras.
·        Operators in Hilbert spaces.
·        Asymptotics: Compact perturbations and Fredholm Theory.
·        Methods and applications.
Introduction to operator algebras and pseudodifferential theory, Second Semester 2011
Contents:
·         The Haar measure.
·         Elements of representation theory for groups and algebras.
·         Symplectic spaces.
·        Elementary group cohomology.
·        Weyl systems.
·        Twisted convolution on functions and measures.
·        The pseudodifferential calculus.
·        Connection with the crossed product C*-algebra.


 
Diseño Automático de Chips
Popular lecture, Tuesday, June 14, 2011, 15:30, Auditorium Ninoslav Bralic


Introduction to K-Theory

Serge Richard, University of Tsukuba

 

Courses 2010

 

Microlocal Analysis and its Application to Sharp Spectral Asymptotics

Victor Ivrii, University of Toronto, Canada
Twisted C*-algebras
Radu Purice, Institute of Mathematics, Romanian Academy

 

Introduction to Scattering Theory

Alexander Pushnitski, King's College London, UK

Differential Geometry

Rafael Tiedra de Aldecoa

Introduction to Noncommutative Geometry

Eduardo Friedman

Seminar on C*-Algebras and Applications

Marius Mantoiu, Juan Rivera