Departement Mathematik

Zurich colloquium in mathematics

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Frühjahrssemester 2011

Datum / Zeit Referent:in Titel Ort
22. März 2011
17:15-18:15 		Prof. Dr. Jürg Fröhlich
ETH Zürich, Switzerland
Details

Zurich Colloquium in Mathematics

Titel Quantum Theory - Results, Lessons and Problems for Mathematicians
Referent:in, Affiliation Prof. Dr. Jürg Fröhlich, ETH Zürich, Switzerland
Datum, Zeit 22. März 2011, 17:15-18:15
Ort KO2 F 150
Quantum Theory - Results, Lessons and Problems for Mathematicians
KO2 F 150
29. März 2011
17:15-18:15 		Prof. Dr. Arnold Douglas
University of Minnesota, Minneapolis
Details

Zurich Colloquium in Mathematics

Titel Finite element exterior calculus: where numerical PDE meets topology
Referent:in, Affiliation Prof. Dr. Arnold Douglas, University of Minnesota, Minneapolis
Datum, Zeit 29. März 2011, 17:15-18:15
Ort KO2 F 150
Abstract This talk aims to provide an accessible introduction to the finite element exterior calculus, or FEEC, a new approach to designing and understanding numerical methods for a variety of PDEs. FEEC arises at the confluence of two streams of research, one emanating from the fields of numerical analysis and scientific computing, the other from topology and geometry. The former stream provides key concepts like Galerkin methods, saddle point variational principles, and finite elements, while the latter contributes ideas such as elliptic complexes, de Rham cohomology, and Hodge theory. These tie together elegantly in the theory of Hilbert complexes and their discretization, which can be used to guide the development of new finite element methods. FEEC has succeeded in unifying, improving, and extending finite element methods for a variety of PDEs arising in fluid and solid mechanics, electromagnetics, and other areas, and has led to the discovery of simple stable numerical methods for problems which were previously untractable.
Finite element exterior calculus: where numerical PDE meets topologyread_more
KO2 F 150
19. April 2011
17:15-18:15 		Prof. Dr. Andrei Zelevinsky
Northeastern University, Boston
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Zurich Colloquium in Mathematics

Titel Cluster algebras via quivers with potentials
Referent:in, Affiliation Prof. Dr. Andrei Zelevinsky, Northeastern University, Boston
Datum, Zeit 19. April 2011, 17:15-18:15
Ort KO2 F 150
Abstract Cluster algebras are commutative rings of a special kind making a surprising appearance in a variety of settings, including tilting theory, Poisson geometry, Teichmuller theory, representations of semisimple groups, etc. Their structure is governed by several piecewise-polynomial and rational recurrences on a regular tree. Although these recurrences are quite explicit and elementary, a direct proof of their conjectural properties seems to be hard to find. Jointly with Harm Derksen and Jerzy Weyman we find their representation-theoretic interpretation in terms of quivers with potentials, allowing us to prove most of the conjectures in question. I will try to provide a reasonably self-contained introduction to cluster algebras and quivers with potentials.
Cluster algebras via quivers with potentialsread_more
KO2 F 150
10. Mai 2011
17:15-18:15 		Prof. Dr. Pierre Raphael
Institut de Mathematiques, Toulouse
Details

Zurich Colloquium in Mathematics

Titel On the singularity formation for dispersive models
Referent:in, Affiliation Prof. Dr. Pierre Raphael, Institut de Mathematiques, Toulouse
Datum, Zeit 10. Mai 2011, 17:15-18:15
Ort KO2 F 150
On the singularity formation for dispersive models
KO2 F 150
31. Mai 2011
17:15-18:15 		Prof. em. Dr. Sara van de Geer
ETH Zurich, Switzerland
Details

Zurich Colloquium in Mathematics

Titel Theoretical challenges in high-dimensional statistics
Referent:in, Affiliation Prof. em. Dr. Sara van de Geer, ETH Zurich, Switzerland
Datum, Zeit 31. Mai 2011, 17:15-18:15
Ort KO2 F 150
Theoretical challenges in high-dimensional statistics
KO2 F 150

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