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Algebraic Techniques for Combinatorial and Computational Geometry

Workshop IV: Finding Algebraic Structures in Extremal Combinatorial Configurations

May 19 - 23, 2014

Organizing Committee | Scientific Overview | Speaker List

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Organizing Committee

Emmanuel Breuillard (Université d'Orsay, Mathematics)
Ben Green (University of Oxford, Mathematics)
Jozsef Solymosi (University of British Columbia, Mathematics)
Terence Tao (University of California, Los Angeles (UCLA), Mathematics)
Julia Wolf (University of Bristol, Mathematics)

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Scientific Overview

Understanding the fine structure of extremal configurations is a key step in the solution of many problems in extremal combinatorics. For example, in many cases a group action underlies the structure found in an extremal scenario, making the problem amenable to algebraic methods.

This principle is illustrated by recent work of Elekes, Hrushovski, Szabó and Green and Tao amongst others, who applied techniques from algebra, algebraic geometry, model theory and additive combinatorics to obtain important new results in discrete geometry.

We expect this fusion of algebraic geometry and combinatorics to become a very active area of research in the coming months and years. It is our aim to showcase the most exciting results, techniques and recent trends in this workshop. 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

Simeon Ball (Polytechnical University of Cataluña (Barcelona))
Michael Bateman (University of Cambridge)
Aart Blokhuis (Technische Universiteit Eindhoven)
Boris Bukh (Carnegie-Mellon University)
Ernest Croot (Georgia Institute of Technology)
Frank de Zeeuw (École Polytechnique Fédérale de Lausanne (EPFL))
Zeev Dvir (Princeton University)
Herbert Edelsbrunner (Institute of Science and Technology Austria (IST Austria))
Noam Elkies (Harvard University)
Marton Hablicsek (University of Wisconsin-Madison)
Harald Helfgott (Centre National de la Recherche Scientifique (CNRS))
Eriko Hironaka (Florida State University)
Nathan Kaplan (Yale University)
Tali Kaufman (Bar-Ilan University)
Shachar Lovett (University of California, San Diego (UCSD))
Maryanthe Malliaris (University of Chicago)
Shubhangi Saraf (Rutgers University New Brunswick/Piscataway)
Ilya Shkredov (Steklov Mathematical Institute)
Joseph Silverman (Brown University)
Jose Voloch (University of Texas at Austin)
Miguel Walsh (University of Oxford)
Avi Wigderson (Institute for Advanced Study)
Joshua Zahl (Massachusetts Institute of Technology)

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Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: CCGWS4
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Website: http://www.ipam.ucla.edu/programs/ccgws4/

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