Description

Workshop on Solving Polynomial Equations and Applications (Semester Programme)

Polynomial equations are at the heart of many problems in pure and applied mathematics. They form a powerful tool for modelling nonlinear phenomena in the sciences. Application areas range from robotics, chemistry and computer vision to quantum physics and statistics. Recent progress has made it possible to reliably solve challenging polynomial equations arising in such practical contexts. This workshop will feature a friendly introduction to existing methods, presentations of the latest software tools and research talks by experts in the field. The focus will be on new trends and methodology, as well as applications in the sciences.

This workshop is co-organized by Monique Laurent and Simon Telen.

Here you can find more information on the program of CWI's Solving Polynomial Equations and Applications workshop.

Please register here.

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CWI Lectures on Algebraic and Geometric Methods in Optimization (2022)

How to compose a portfolio ensuring maximum revenue while minimizing risk? How to control trajectories of solutions in dynamical systems? How to find the best sphere packing or the minimum energy of an interacting particle system? How to find optimal power flows in energy networks?

Such difficult optimization problems arise in diverse fields and application areas, such as operations research, discrete geometry, machine learning, theoretical computer science, and control theory.

These CWI Lectures are devoted to novel solution methods that combine dedicated algebraic and geometric approaches and sophisticated computational tools from mathematics and computer science.

Various aspects will be covered by four world-leading experts: Amir Ali Ahmadi (Princeton University), Etienne de Klerk (Tilburg University), Rekha Thomas (University of Washington), and Frank Vallentin (Universität zu Köln).

During the event, we will celebrate Monique Laurent’s appointment as a CWI Fellow for her contributions to research in the area of Semidefinite and Polynomial Optimization. The theme of this year’s lectures was chosen in honor of Monique’s work.

The lectures are intended for a broad mathematical audience and in 2022 the program committee consists of Daniel Dadush and Guido Schäfer (Networks and Optimization Group). This event at CWI is freely accessible after registration.

Preliminary program:
13.00–13.10 Welcome
13.10–13.55 Etienne de Klerk (Tilburg University) - Proving inequalities using semidefinite programming duality: applications in the worst-case analysis of iterative methods
13.55–14.40 Frank Vallentin (Universität zu Köln) - Generalizations and Applications of the Lovász theta number
14.40–15.15 Break
15.15–16.00 Amir Ali Ahmadi (Princeton University) - Local Minima in Polynomial Optimization
16.00–16.45 Rekha Thomas (University of Washington) - Graphical Designs: Structure, Complexity and Applications
16.45–16.50 Closing
16.50–18.00 Drinks
On this page, you'll find more information about the speakers and their presentations.

For inquiries and further details about the lectures, please contact event coordinator Daniëlle Kollerie (D.C.Kollerie@cwi.nl).

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Workshop on Polynomial Optimization and Applications in Control and Energy (Semester Programme)

This workshop is devoted to the application of polynomial optimization methods in the analysis and control of dynamical systems and energy networks. The polynomial optimization approach offers a powerful framework to model hard nonconvex, nonlinear control problems as infinite dimensional linear optimization problems over measure spaces. The rich interplay between functional analysis and operator theory, and real algebraic geometry, underlies the nowadays well-known moment/sum-of-squares hierarchy of relaxations, that allows to efficiently obtain converging sequences of bounds. This approach has also been recently developed to attack large optimal power flow problems in large electrical networks. The program (under construction) will feature lectures by experts in the field and ample time will be left for discussions.

This workshop is co-organized by Monique Laurent and Bert Zwart.

Here you can find more information on the program of CWI's Polynomial Optimization and Applications in Control and Energy workshop.

Please register here.

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