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Thematic Program on the Foundations of Computational Mathematics July-December, 2009October 20 - 24, 2009 (Tues.-Sat.)
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| Audio and Slides of talks | Workshop Schedule | Visitor Information |
| Confirmed Participants | Abstracts | Hotels and Housing |
Mailing List : To receive updates on the program please subscribe to our mailing list at www.fields.utoronto.ca/maillist
Complexity issues lie at the core of the theory of computation.
The size of many practical problems demands the study of their intrinsic
complexity and the efficiency of any proposed algorithms. Theoretical
results have often resulted in real practical improvements in computation,
such as that of Khachiyan who showed the polynomial-time solvability
of linear programming in 1979 -- although the resulting "ellipsoid
algorithm" was not practically competitive with the simplex
method, it nevertheless led to modern interior-point algorithms
which can outperform simplex algorithm on many large linear programs.
This workshop will involve three major subareas of complexity:
- Complexity of Algebraic Geometry-- the complexity of solving polynomial systems.
- Emerging themes in optimization--the above-mentioned ellipsoid algorithm shows the importance of fundamental results for practical applications.
- Algebraic and semi-algebraic Complexity--this area provides a uniform foundation for the first two.
There will be 5 short courses of 3 or 2 lectures each in these major areas, and a dozen talks of 45 minutes plus questions. We expect to leave enough free time to the participants to favour interaction and discussions.
We will also take the opportunity to celebrate Jean Pierre Dedieu's 60th birthday during a conference dinner in his honor, which will be preceded by a talk describing his major contributions to the field.
Invited Speakers
|
Saugata Basu (Purdue University) |
Gregoire Lecerf (Université de Versailles) Renato Monteiro (Georgia Institute of Technology) Bernard Mourrain (INRIA Sophia Antipolis) Marie-Francoise Roy (Universite de Rennes 1) Andrew Sommese (University of Notre Dame) *Paul Tseng (Washington University) Joris van der Hoeven (Université Paris-Sud) Yinyu Ye (Stanford University) |
Tentative Workshop Schedule revised October 20
| Tuesday October 20 | |
| 9:00-10:00 | Coffee |
| 10:00-10:10 | Welcome and Introduction Workshop Organizers |
| 10:10-11:00 | Lecture 1 Peter Bürgisser (Universität Paderborn) Felipe Cucker (City University of Hong Kong) Condition |
| 11:10-12:00 | Lecture 1 Jean Pierre Dedieu (Universite de Toulouse) Complexity of Bezout's Theorem and the Condition Number |
| 12:00-2:10 | Lunch |
| 2:10-3:00 | Lecture 1 Gregoire Lecerf (Université de Versailles) Symbolic deformation techniques for polynomial system solving |
| 3:00-3:30 | Tea |
| 3:30-4:20 | Lecture 1 Askold Khovanskii (University of Toronto) An interplay between Algebraic Geometry and Convex Geometry |
| 4:30-5:20 | Marie-Francoise Roy (Universite de Rennes 1) Certificates of positivity in the Bernstein basis |
| 5:30-6:20 | Reception Fields Institute Atrium |
| Wednesday October 21 | |
| 9:00-9:50 | Lecture 2 Jean Pierre Dedieu (Universite de Toulouse) Complexity of Bezout's Theorem and the Condition Number |
| 9:50-10:10 | Coffee |
| 10:10-11:00 | Lecture 2 Gregoire Lecerf (Université de Versailles) Symbolic deformation techniques for polynomial system solving |
| 11:10-12:00 | Andrew Sommese (University of Notre Dame) Zebra Fish, Tumor Growth, and Algebraic Geometry |
| 12:00-2:10 | Lunch |
| 2:10-3:00 | Lecture 1 Renato Monteiro (Georgia Institute of Technology) Algorithms for large scale structured optimization problems |
| 3:00-3:30 | Tea |
| 3:30-4:20 | Alexandre D'Aspremont (Princeton University) Tractable performance bounds for compressed sensing |
| 4:20- 5:10 | Joris van der Hoeven (Université Paris-Sud) On the art of guessing |
| Thursday October 22 | |
| 9:00-9:50 | Lecture 2 Peter Bürgisser (Universität Paderborn) Felipe Cucker (City University of Hong Kong) Condition |
| 9:50-10:10 | Coffee |
| 10:10-11:00 | Lecture 2 Askold Khovanskii (University of Toronto) An interplay between Algebraic Geometry and Convex Geometry |
| 11:10-12:00 | Marc Giusti (Ecole Polytechnique Palaiseau) On the geometry of polar varieties |
| 12:00-2:10 | Lunch |
| 2:10-3:00 | Myong-Hi Kim (SUNY at Old Westbury)
The average cost of one variable root finding polynomial |
| 3:00-3:30 | Tea |
| 3:30-4:20 | Lecture 2 Renato Monteiro (Georgia Institute of Technology) Algorithms for large scale structured optimization problems |
| 4:30-5:20 | Free time |
| 5:30-6:20 | Luis Miguel Pardo (Universidad de Cantabria)
On the work of Jean-Pierre Dedieu |
| 7:00 | Workshop dinner for Dedieu 93 Harbord St. |
| Friday October 23 | |
| 9:50-10:10 | Coffee |
| 10:10-11:00 | Lecture 3 Jean Pierre Dedieu (Universite de Toulouse) Complexity of Bezout's Theorem and the Condition Number |
| 11:10-12:00 | Lecture 3 Peter Bürgisser (Universität Paderborn) Felipe Cucker (City University of Hong Kong) Condition |
| 12:00-2:10 | Lunch |
| 2:10-3:00 | Yinyu Ye (Stanford University) On the complexity of L-p norm minimization for p less than 1 |
| 3:00-3:30 | Tea |
| 3:30-4:20 | Saugata Basu (Purdue University) Polynomial hierarchy, Betti numbers and a real analogue of Toda's theorem |
| 4:30-5:20 | Carlos Beltrán (Universidad de Cantabria) Path-following methods for solving Smale's 17th problem. Recent progress and open questions |
| Saturday October 24 | |
| 9:30-10:20 | Lecture 3 Renato Monteiro (Georgia Institute of Technology) Algorithms for large scale structured optimization problems |
| 10:20-10:40 | Coffee |
| 10:40-11:30 | Bernard Mourrain (INRIA Sophia Antipolis) Isolation of real roots of polynomial systems, complexity and condition number |
| 11:40-12:30 | Lecture 3 Gregoire Lecerf (Université de Versailles) Symbolic deformation techniques for polynomial system solving |
Confirmed Participants as of November 3, 2009
| Full Name | University/Affiliation |
| Amelunxen, Dennis | Universität Paderborn |
| Andrews, Rob | (no affiliation) |
| Armentano, Diego | Universidad de la República |
| Bank, Bernd | Humboldt--Universitaet zu Berlin |
| Basu, Saugata | Purdue University |
| Beltrán, Carlos | Universidad de Cantabria |
| Berz, Martin | Michigan State University |
| Blum, Lenore | Carnegie Mellon University |
| Boito, Paola | Emory University |
| Briquel, Irénée | Ecole Normale Supérieure de Lyon |
| Bürgisser, Peter | Universität Paderborn |
| Cheng, Qi | University of Oklahoma |
| Cheung, Kevin | Carleton University |
| Chèze, Guillaume | Institut de Mathématiques de Toulouse |
| Conidis, Chris | University of Waterloo |
| Coons, Michael J. | Simon Fraser University |
| Cucker, Felipe | City University of Hong Kong |
| D’Andrea, Carlos | Universitat de Barcelona |
| d'Aspremont, Alexandre | Princeton University |
| Dedieu, Jean-Pierre | Université de Toulouse |
| Di Fiore, Carlos | University of Buenos Aires |
| Di Rocco, Sandra | KTH |
| Franklin, Johanna | National University of Singapore |
| Ghaddar, Bissan | University of Waterloo |
| Giusti, Marc | CNRS-Polytechnique |
| Grenet, Bruno | Ecole Normale Supérieure de Lyon |
| Grigo, Alexander | Georgia Institute of Technology |
| Hammerlindl, Andy | The Fields Institute |
| Hauenstein, Jonathan | University of Notre Dame |
| Jeronimo, Gabriela | Universidad de Buenos Aires |
| Khovanskii, Askold | University of Toronto |
| Kim, Myong-Hi Nina | SUNY College at Old Westbury |
| Koiran, Pascal | ENS Lyon |
| Krick, Teresa | Universidad de Buenos Aires |
| Laplagne, Santiago | University of Buenos Aires |
| Lasserre, Jean Bernard | LAS-CNRS |
| Lebreton, Romain | Ecole Polytechnique |
| Lecerf, Grégoire | Université de Versailles |
| Lewis, Adrian | Cornell University |
| Leykin, Anton | University of Illinois at Chicago |
| Li, Tien-Yien | Michigan State University |
| Malajovich, Gregorio | Universidade Federal do Rio de Janeiro |
| Martens, Marco | SUNY at Stony Brook |
| Monteiro, Renato | Georgia Institute of Technology |
| Mourrain, Bernard | INRIA |
| Nabutovsky, Alexander | University of Toronto |
| Naoum-Sawaya, Joe | University of Waterloo |
| Nobakhtian, Soghra | University of Isfahan |
| Pang, Chin How Jeffrey | Cornell University |
| Pardo, Luis | Universidad de Cantabria |
| Peña, Javier | Carnegie Mellon University |
| Pong, Ting Kei | University of Washington |
| Portier, Natacha | ENS Lyon |
| Renegar, James | Cornell University |
| Rojas, Cristóbal | IML |
| Roshchina, Vera | Universidade de Evora |
| Roy, Marie-Francoise | Université de Rennes I |
| Scheiblechner, Peter | Purdue University |
| Sethuraman, Swaminathan | Fields Institute |
| Shub, Michael | University of Toronto |
| Sommese, Andrew | University of Notre Dame |
| Szanto, Agnes | North Carolina State University |
| Todd, Michael J. | Cornell University |
| Valdettaro, Marcelo | University of Buenos Aires |
| van der Hoeven, Joris | Université Paris-Sud |
| Vera, Juan | University of Waterloo |
| Von zur Gathen, Joachim | University of Bonn |
| Wampler, Charles | General Motors R&D |
| Yampolsky, Michael | University of Toronto |
| Ye, Yinyu | Stanford University |
| Yomdin, Yosef | The Weizmann Institute of Science |
*Paul Tseng has been missing since taking a solo kayak trip in China in mid August. Our thoughts are with his family and his many friends.
Apply to the Program:
All scientific events are open to the mathematical sciences community.
Visitors who are interested in office space or funding are
requested to apply by filling out the application
form. Additional support is available (pending NSF funding)
to support junior US visitors to this program. Fields scientific
programs are devoted to research in the mathematical sciences, and
enhanced graduate and post-doctoral training opportunities. Part
of the mandate of the Institute is to broaden and enlarge the community,
and to encourage the participation of women and members of visible
minority groups in our scientific programs.
For additional information contact thematic(PUT_AT_SIGN_HERE)fields.utoronto.ca