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Seminar Series

Algebraic Techniques for Combinatorial and Computational Geometry

March 10 - June 13, 2014

Organizing Committee | Scientific Overview | Activities

Application | Contact Us

Organizing Committee

Jordan Ellenberg (University of Wisconsin-Madison)
Nets Katz (California Institute of Technology)
Micha Sharir (Tel Aviv University)
Jozsef Solymosi (University of British Columbia, Mathematics)

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Scientific Overview

The field of combinatorial geometry has some of its roots in profound questions asked by Paul Erdos, back in the 1940s. Erdos continued to investigate many aspects of the field, shaping it in the process, and helped make it a deep, rich, and intensively studied branch of mathematics. In the 1980s, computer scientists became involved due to applications to computational geometry, and in the 1990s, harmonic analysts became interested due to its relationship with the Kakeya problem.

In the past four years, the landscape of combinatorial geometry has considerably changed due to the work of Guth and Katz (inspired by earlier work of Dvir on the finite field Kakeya problem), who solved the joints problem in 3D and the Erdos distinct distances problem. More recently, Green and Tao stunningly solved the long-standing conjecture of Dirac and Motzkin on the number of ordinary lines. What these results have in common is algebraic geometry.

The application of algebraic geometry to problems in incidence geometry has been a rather surprising development. This interdisciplinary work is still at its infancy, and a major goal of this program is to provide a venue for deepening and widening the interaction between combinatorial geometry, algebraic geometry, Fourier analysis, and hopefully other mathematical disciplines too.

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There will be an active program of scientific activities, seminars and workshops throughout the March 10 - June 13, 2014 period and core participants will be in residence at IPAM continuously for these fourteen weeks. The program will open with tutorials, and will be punctuated by four major workshops and a culminating workshop at UCLA's Lake Arrowhead Conference Center. Several distinguished senior scientists will be in residence for the entire period. Between the workshops there will be a program of activities involving the long-term and short-term participants, as well as visitors.

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Confirmed Participants

Imre Barany, Renyi Institute of Mathematics
Abdul Basit, Rutgers University New Brunswick/Piscataway
Saugata Basu, Purdue University
Jonathan Bennett, University of Birmingham
Alina Bucur, University of California, San Diego (UCSD)
Boris Bukh, Carnegie-Mellon University
Steve Butler, Iowa State University
Tony Carbery, University of Edinburgh
Ameerah Chowdhury, Carnegie-Mellon University
Michel Coste, Université de Rennes I
Ernest Croot, Georgia Institute of Technology
Frank de Zeeuw, École Polytechnique Fédérale de Lausanne (EPFL)
Ciprian Demeter, Indiana University
Zeev Dvir, Princeton University
Jordan Ellenberg, University of Wisconsin-Madison
Codrut Grosu, Freie Universität Berlin
Marton Hablicsek, University of Wisconsin-Madison
Brandon Hanson, University of Toronto
Ehud Hrushovski, Hebrew University
Marina Iliopoulou, University of Edinburgh
Alex Iosevich, University of Rochester
Nathan Kaplan, Yale University
Nets Katz, California Institute of Technology
Kiran Kedlaya, University of California, San Diego (UCSD)
Sergei Konyagin, Russian Academy of Sciences
Izabella Laba, University of British Columbia
Stefan Langerman, Université Libre de Bruxelles
Benjamin Lund, Rutgers University
Neil Lyall, University of Georgia
Akos Magyar, University of British Columbia
Marta Narvaez Clauss, University of Barcelona
Hoi Nguyen, Ohio State University
Janos Pach, École Polytechnique Fédérale de Lausanne (EPFL)
Igor Pak, University of California, Los Angeles (UCLA)
Greta Panova, University of California, Los Angeles (UCLA)
Hans Parshall, University of Georgia
Orit Raz, Tel Aviv University
Oliver Roche-Newton, University of Reading
Marie-Francoise Roy, Université de Rennes I
Natan Rubin, Jussieu Institute of Mathematics/Paris 6
Misha Rudnev, University of Bristol
Zuzana Safernova, Charles University, Prague
Micha Sharir, Tel Aviv University
Adam Sheffer, Tel Aviv University
Kaloyan Slavov, American University in Bulgaria
Shakhar Smorodinsky, Ben-Gurion University of the Negev
Noam Solomon, Tel Aviv University
Jozsef Solymosi, University of British Columbia
Martin Sombra, ICREA and Universitat de Barcelona
Konrad Swanepoel, London School of Economics and Political Science
Terence Tao, University of California, Los Angeles (UCLA)
Csaba Toth, California State University Northridge
Manh Tuan Tran, Freie Universität Berlin
Hong Wang, École Polytechnique
Avi Wigderson, Institute for Advanced Study
Joshua Zahl, Massachusetts Institute of Technology
Ruixiang Zhang, Princeton University

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Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: CCG2014
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Website: http://www.ipam.ucla.edu/programs/ccg2014/

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