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Schedule and Presentations

Modern Trends in Optimization and Its Application

Workshop I: Convex Optimization and Algebraic Geometry

September 28 - October 1, 2010


Organizing Committee | Scientific Overview | Speaker List

Application/Registration | Contact Us

Organizing Committee

William Helton (University of California, San Diego (UCSD), Mathematics)
Monique Laurent (CWI, Amsterdam, and U. Tilburg)
Pablo Parrilo (Massachusetts Institute of Technology)
Bernd Sturmfels (University of California, Berkeley (UC Berkeley), Mathematics)
Rekha Thomas (University of Washington)

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Scientific Overview

Algebraic geometry has a long and distinguished presence in the history of mathematics that produced both powerful and elegant theorems. In recent years new algorithms have been developed and this has lead to unexpected and exciting interactions with optimization theory. Particularly noteworthy is the cross-fertilization between Groebner bases and integer programming, and real algebraic geometry and semidefinite programming. The latter includes approaches to polynomial optimization that are based on sums of squares, and new approximation hierarchies for hard combinatorial optimization problems.

This workshop will focus on research directions at the interface of convex optimization and algebraic geometry, with both domains understood in the broadest sense. The problems and algorithms to be discussed arise from fields as diverse as functional analysis, control theory, probability theory, statistics, numerical algebraic geometry, combinatorics, multilinear algebra, and their applications in engineering and the life sciences. Of particular interest will be also the development of computational benchmarks and the integration of numerical optimization software with symbolic algebra packages.

This workshop will include a poster session; a request for posters will be sent to registered participants in advance of the workshop.

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Confirmed Speakers

Christine Bachoc (Université de Bordeaux I)
Alexander Barvinok (University of Michigan)
Etienne De Klerk (Katholieke Universiteit Brabant (Tilburg University))
Jan Draisma (Technische Universiteit Eindhoven)
Ioana Dumitriu (University of Washington)
Didier Henrion (Centre National de la Recherche Scientifique (CNRS))
Lek-Heng Lim (University of California, Berkeley (UC Berkeley))
Bernard Mourrain (Institut National de Recherche en Informatique Automatique (INRIA))
Kazuo Murota (University of Tokyo)
Jiawang Nie (University of California, San Diego (UCSD))
Konrad Schmüdgen (Universität Leipzig)
Markus Schweighofer (Universität Konstanz)
Rekha Thomas (University of Washington)
Levent Tunçel (University of Waterloo)

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Application/Registration

An application/registration form is available at:

https://www.ipam.ucla.edu/elements/choose.aspx?pc=opws1

The application part is for people requesting financial support to attend the workshop. If you don't intend to do this, you may simply register. We urge you to apply as early as possible. Applications received by July 19, 2010 will receive fullest consideration. Letters of reference may be sent to the address or email address below. Successful applicants will be notified as soon as funding decisions are made.

We have funding especially to support the attendance of recent PhD's, graduate students, and researchers in the early stages of their career; however, mathematicians and scientists at all levels who are interested in this area are encouraged to apply for funding. Encouraging the careers of women and minority mathematicians and scientists is an important component of IPAM's mission and we welcome their applications.

Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: OPWS1
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email:
Website: http://www.ipam.ucla.edu/programs/opws1/

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