Algebraic Geometric Methods in Engineering

September 15 - 16, 2006

Content

Overview

Poster:

T9.15-16.06_poster.pdf

Organizers:

Sanjay Lall	Stanford University
Pablo Parrilo	Massachusetts Institute of Technology
Fabrice Rouillier	Institut National de Recherche en Informatique Automatique (INRIA)

The main goal of this tutorial is to present an introduction and representative sample of scientific and engineering applications of algebraic-geometric methods, emphasizing the available opportunities and applicability of the techniques. Since the tutorial will take place the weekend immediately preceding the workshop on Algorithms in Algebraic Geometry workshop, it will provide a unique chance to connect the applications-oriented audience with the algorithms and software developers.The tutorial will include a mixture of speakers from industry and academia. Among the areas we will cover are robotics, CAD/CAM, systems and control, computer vision, formal methods, chemistry, and computational geometry.

Schedule

Friday, September 15, 2006

8:15 am - 8:45 am	Coffee and registration	EE/CS 3-176
8:45 am - 9:00 am	Welcome and opening remarks Douglas Arnold (University of Minnesota, Twin Cities)	EE/CS 3-180
9:00 am - 9:50 am	Control Theory and Algebraic Geometry Sanjay Lall	EE/CS 3-180
10:00 am - 10:30 am	Break	EE/CS 3-176
10:30 am - 11:20 am	Some certified methods for Real Solving - applications in robotics Fabrice Rouillier (Institut National de Recherche en Informatique Automatique (INRIA))	EE/CS 3-180
11:30 am - 1:30 pm	Lunch
1:30 pm - 2:20 pm	Control Theory and Algebraic Geometry (continued) Sanjay Lall	EE/CS 3-180
2:30 pm - 3:00 pm	Break	EE/CS 3-176
3:00 pm - 3:50 pm	Some certified methods for Real Solving - applications in robotics (continued) Fabrice Rouillier	EE/CS 3-180
4:00 pm - 4:30 pm	Second Chances	EE/CS 3-180

Saturday, September 16, 2006

8:50 am - 9:00 am	Coffee	EE/CS 3-176
9:00 am - 9:50 am	Mechanisms and Robot Kinematics: Algebraic Foundations Charles Wampler (General Motors Corporation)	EE/CS 3-180
10:00 am - 10:30 am	Break	EE/CS 3-176
10:30 am - 11:20 am	Solution of Integral and Differential Equations using Algebraic Splines Chandrajit Bajaj (The University of Texas at Austin)	EE/CS 3-180
11:30 am - 1:30 pm	Lunch
1:30 pm - 2:20 pm	Mechanisms and Robot Kinematics: Numerical Algebraic Geometry Charles Wampler (General Motors Company)	EE/CS 3-180
2:30 pm - 3:00 pm	Break	EE/CS 3-176
3:00 pm - 3:50 pm	Solution of Integral and Differential Equations using Algebraic Splines Chandrajit Bajaj (The University of Texas at Austin)	EE/CS 3-180
4:00 pm - 4:30 pm	Second Chances	EE/CS 3-180

Participants

Name	Department	Affiliation
Douglas Arnold	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Donald Aronson	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Chandrajit Bajaj	Department of Computer Science	The University of Texas at Austin
Evgeniy Bart	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Daniel Bates	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Sorin Bengea	Decision and Control Group, Innovation Center	Eaton Corporation
Gian Besana	School of Computing	DePaul University
Francesco Borrelli	Department of Aerospace Engineering and Mechanics	University of Minnesota, Twin Cities
Ionut Ciocan-Fontanine	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Maria Cueto	Departamento de Matemáticas	University of Buenos Aires
Wolfram Decker		Universität des Saarlandes
Bernard Deconinck	Department of Applied Mathematics	University of Washington
Jesus De Loera	Department of Mathematics	University of California
Alicia Dickenstein	Departamento de Matemática, FCEN	University of Buenos Aires
Sandra Di Rocco	Department of Mathematics	Royal Institute of Technology (KTH)
Xuan Doan	Operations Research Center	Massachusetts Institute of Technology
Kenneth Driessel	Department of Mathematics	Iowa State University
David Eklund	Matematiska Institutionen	Royal Institute of Technology (KTH)
Paolo Falcone	Department of Aerospace Engineering and Mechanics	University of Minnesota, Twin Cities
Makan Fardad	Department of Electrical and Computer Engineering	University of Minnesota, Twin Cities
Shuhong Gao	Department of Mathematical Sciences	Clemson University
Sonja Glavaski	Advanced Technology Laboratory	Honeywell
Oleg Golubitsky	School of Computing	Queen's University
Jason Gower	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Genhua Guan	Department of Mathematics	Clemson University
Gloria Haro Ortega	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Milena Hering	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Christopher Hillar	Department of Mathematics	Texas A & M University
Benjamin Howard	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Evelyne Hubert	Project Team GALAAD	Institut National de Recherche en Informatique Automatique (INRIA)
Farhad Jafari	Department of Mathematics	University of Wyoming
Itnuit Janovitz-Freireich	Department of Mathematics	North Carolina State University
Anders Jensen	Institut for Matematiske Fag	Aarhus University
Gabriela Jeronimo	Departamento de Matemáticas	University of Buenos Aires
Mihailo Jovanovic	Department of Electrical and Computer Engineering	University of Minnesota, Twin Cities
Irina Kogan	Department of Mathematics	North Carolina State University
Teresa Krick	Departamento de Matemáticas	University of Buenos Aires
Michael Kunte	Fachrichtung Mathematik	Universität des Saarlandes
Song-Hwa Kwon	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Oliver Labs		Universität des Saarlandes
Sanjay Lall	Department of Electrical Engineering	Stanford University
Niels Lauritzen	Department of Mathematical Sciences	Aarhus University
Melvin Leok		University of Michigan
Anton Leykin	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Hstau Liao	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Gennady Lyubeznik	School of Mathematics	University of Minnesota, Twin Cities
Diane Maclagan	Department of Mathematics	Rutgers, The State University Of New Jersey
Susan Margulies		University of California
Hannah Markwig	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Thomas Markwig	Department of Mathematics	Universität Kaiserslautern
Guillermo Matera	Instituto de Desarrollo Humano	Universidad Nacional de General Sarmiento
Laura Matusevich	Department of Mathematics	Texas A & M University
Richard Moeckel	School of Mathematics	University of Minnesota, Twin Cities
Nader Motee	Electrical and Systems Engineering Department	University of Pennsylvania
Jiawang Nie	Institute of Mathematics and its Application	University of Minnesota, Twin Cities
Xia Ning	Department of Computer Science	University of Minnesota, Twin Cities
Michael O'Sullivan	Department of Mathematics & Statistics	San Diego State University
Rohit Pandita		University of Minnesota, Twin Cities
Pablo Parrilo	Department of Electrical Engineering and Computer Science	Massachusetts Institute of Technology
Matt Patterson	Department of Applied Mathematics	University of Washington
Chris Peterson	Department of Mathematics	Colorado State University
Sorin Popescu	Department of Mathematics	The State University of New York
Kristian Ranestad	Matematisk institutt	University of Oslo
Gregory Reid	Department of Applied Mathematics	University of Western Ontario
Victor Reiner	School of Mathematics	University of Minnesota, Twin Cities
J. Maurice Rojas	Department of Mathematics	Texas A & M University
Fabrice Rouillier	Projet SALSA	Institut National de Recherche en Informatique Automatique (INRIA)
David Rusin	Department of Mathematical Sciences	Northern Illinois University
Michael Sagraloff	Department of Algorithms and Complexity	Max-Planck-Institut für Informatik
Arnd Scheel	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Frank-Olaf Schreyer	Institut fur Mathematik und Informatik	Universität des Saarlandes
Chehrzad Shakiban	Institute of Mathematics and its Applications	University of Minnesota, Twin Cities
Tanush Shaska	Department of Mathematics & Statistics	Oakland University
Andrew Sommese	Department of Applied & Computational Mathematics & Statistics	University of Notre Dame
Frank Sottile	Department of Mathematics	Texas A & M University
Steven Sperber	School of Mathematics	University of Minnesota, Twin Cities
Agnes Szanto	Department of Mathematics	North Carolina State University
Nobuki Takayama	Department of Mathematics	Kobe University
Hrishikesh Tamhankar	GeoResources Institute/Electrical Engineering	Mississippi State University
Kathleen Thompson		North Carolina State University
Carl Toews	Institute for Mathematics and its Applications	University of Minnesota, Twin Cities
Balint Vanek		University of Minnesota, Twin Cities
Jan Verschelde	Department of Mathematics, Statistics and Computer Science	University of Illinois, Chicago
John Voight		University of Minnesota, Twin Cities
Charles Wampler	General Motors Research and Development Center	General Motors Corporation
Oliver Wienand	Department of Mathematics	University of California, Berkeley
Wenyuan Wu	Department of Applied Mathematics	University of Western Ontario
Ji Zhang	Department of Mathematics	Purdue University