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Algebraic Techniques for Combinatorial and Computational Geometry

Workshop II: Tools from Algebraic Geometry

April 7 - 11, 2014

Organizing Committee | Scientific Overview | Speaker List

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Organizing Committee

Saugata Basu (Purdue University)
Igor Dolgachev (University of Michigan)
Jordan Ellenberg (University of Wisconsin-Madison)
Joseph Landsberg (Texas A&M University - College Station)
Marie-Francoise Roy (Université de Rennes I)
Micha Sharir (Tel Aviv University)

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Scientific Overview

Algebraic techniques are playing an increasingly important role in certain areas of discrete geometry and combinatorics. This workshop will focus on those aspects of algebraic geometry that have an impact on incidence geometry and related areas. The workshop will primarily focus on those topics from classical algebraic geometry that seem poised to play important roles in this area including: the theory of ruled surfaces; Hilbert functions and polynomials; generalized Bezout theorems; the relationship between algebraic geometry over the field of real and complex numbers as well as fields of positive characteristic, combinatorial and algorithmic aspects of space decomposition induced by real algebraic varieties; and a variety of quantitative and combinatorial results in algebraic geometry.

A central challenge that the workshop will address is how to adequately identify the class of problems in discrete geometry susceptible to the algebraic method. The workshop will include expository talks by experts that make classical results of algebraic geometry accessible to researchers in discrete geometry by explaining them in modern terms. Another important goal of this workshop is to expose experts in algebraic geometry to new applications, and present them with some open problems.

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

Abdelmalek Abdesselam (University of Virginia)
Sal Barone (Georgia Institute of Technology)
Saugata Basu (Purdue University)
Emmanuel Briand (University of Sevilla)
Erwan Brugallé (École Polytechnique)
Michel Coste (Université de Rennes I)
Jordan Ellenberg (University of Wisconsin-Madison)
Andrei Gabrielov (Purdue University)
Alex Iosevich (University of Rochester)
Steven Kleiman (Massachusetts Institute of Technology)
Joseph Landsberg (Texas A&M University - College Station)
Daniel Perrucci (University of Buenos Aires)
Ragni Piene (University of Oslo)
Kristian Ranestad (University of Oslo)
Marie-Francoise Roy (Université de Rennes I)
Zuzana Safernova (Charles University, Prague)
Micha Sharir (Tel Aviv University)
Jozsef Solymosi (University of British Columbia)
Martin Sombra (ICREA and Universitat de Barcelona)
Bernd Sturmfels (University of California, Berkeley (UC Berkeley))
Terence Tao (University of California, Los Angeles (UCLA))
Ravi Vakil (Stanford University)
Cynthia Vinzant (University of Michigan)
Nicolai Vorobjov (University of Bath)
Ke Ye (University of Chicago)
Joshua Zahl (Massachusetts Institute of Technology)

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Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: CCGWS2
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Website: http://www.ipam.ucla.edu/programs/ccgws2/

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