Algebraic Techniques for Combinatorial and Computational Geometry
March 10 - June 13, 2014
Organizing Committee |
Scientific Overview |
(University of Wisconsin-Madison)
(California Institute of Technology)
(Tel Aviv University)
(University of British Columbia, Mathematics)
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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
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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An application form is available at:
This application is for people requesting financial support to attend and participate for extended periods up to the entire length of the program (March 10 - June 13, 2014).
Applications for individual workshops are separate and will be posted on individual workshop home pages when available.
We urge you to apply as early as possible. Applications will be accepted through Tuesday, December 10, 2013 but decisions will be made starting in July.
Successful applicants will be notified as soon as funding decisions are made. Letters of reference may be sent to the address or email address below.
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.
Institute for Pure and Applied Mathematics (IPAM)
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
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