Zurich colloquium in mathematics

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Date / Time

Speaker

Title

Location

22 March 2011
17:15-18:15

Prof. Dr. Jürg Fröhlich
ETH Zürich, Switzerland

Event Details

Title	Quantum Theory - Results, Lessons and Problems for Mathematicians
Speaker, Affiliation	Prof. Dr. Jürg Fröhlich, ETH Zürich, Switzerland
Date, Time	22 March 2011, 17:15-18:15
Location	KO2 F 150

Quantum Theory - Results, Lessons and Problems for Mathematicians

29 March 2011
17:15-18:15

Prof. Dr. Arnold Douglas
University of Minnesota, Minneapolis

Event Details

Title	Finite element exterior calculus: where numerical PDE meets topology
Speaker, Affiliation	Prof. Dr. Arnold Douglas, University of Minnesota, Minneapolis
Date, Time	29 March 2011, 17:15-18:15
Location	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

Event Details

Title	Cluster algebras via quivers with potentials
Speaker, Affiliation	Prof. Dr. Andrei Zelevinsky, Northeastern University, Boston
Date, Time	19 April 2011, 17:15-18:15
Location	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 May 2011
17:15-18:15

Prof. Dr. Pierre Raphael
Institut de Mathematiques, Toulouse

Event Details

Title	On the singularity formation for dispersive models
Speaker, Affiliation	Prof. Dr. Pierre Raphael, Institut de Mathematiques, Toulouse
Date, Time	10 May 2011, 17:15-18:15
Location	KO2 F 150

On the singularity formation for dispersive models

KO2 F 150

31 May 2011
17:15-18:15

Prof. em. Dr. Sara van de Geer
ETH Zurich, Switzerland

Event Details

Title	Theoretical challenges in high-dimensional statistics
Speaker, Affiliation	Prof. em. Dr. Sara van de Geer, ETH Zurich, Switzerland
Date, Time	31 May 2011, 17:15-18:15
Location	KO2 F 150

Theoretical challenges in high-dimensional statistics

KO2 F 150

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