|
|
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, Electrical Engineering and Computer Science)
Bernd Sturmfels
(University of California, Berkeley (UC Berkeley), Mathematics)
Rekha Thomas
(University of Washington)
Back to Top
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.
Back to Top
Confirmed Speakers
Christine Bachoc
(Université de Bordeaux I)
Grigoriy Blekherman
(Virginia Polytechnic Institute and State University)
Petter Branden
(University of Stockholm)
Etienne De Klerk
(Katholieke Universiteit Brabant (Tilburg University))
Jan Draisma
(Technische Universiteit Eindhoven)
Ioana Dumitriu
(University of Washington)
Joao Gouveia
(University of Washington)
Didier Henrion
(Centre National de la Recherche Scientifique (CNRS))
Jean Lasserre
(Université de Toulouse III (Paul Sabatier))
Lek-Heng Lim
(University of Chicago)
Scott Mccullough
(University of Florida)
Bernard Mourrain
(Institut National de Recherche en Informatique Automatique (INRIA))
Jiawang Nie
(University of California, San Diego (UCSD))
Raman Sanyal
(University of California, Berkeley (UC Berkeley))
Konrad Schmüdgen
(Universität Leipzig)
Markus Schweighofer
(Universität Konstanz)
Dylan Thurston
(Barnard College)
Levent Tunçel
(University of Waterloo)
Victor Vinnikov
(Ben Gurion University of the Negev)
Stephanie Wehner
(National University of Singapore)
Back to Top
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: ipam@ucla.edu
Website:
http://www.ipam.ucla.edu/programs/opws1/
Back to Top
|