Organizing Committee:
Jean-Pierre Dedieu (University Paul Sabatier)
Teresa Krick (Department of Mathematics, University of Buenos Aires)
Charles Pugh (Department of Mathematics, Chicago University)
Amie Wilkinson (Department of Mathematics, Northwestern University)

Supported by the National Science Foundation

Registration n Fees $100, Students and PDF $40

Workshop
Program

Confirmed
Participants

Abstracts

Overview:

This conference aims to follow-up on the Fields Institute Fall 2009 Thematic Program on Foundations of Computational Mathematics, which was organized by Peter Borwein (Simon Frazer University), Stephen Cook (University of Toronto), Teresa Krick (University of Buenos Aires), Adrian Lewis (Cornell University), Richard Schwartz (Brown University) and Michael Shub (University of Toronto).

There were three major themes, centered on three different workshops: Discovery and Experimentation in Number Theory, Complexity of Numerical Computation and Computational Differential Geometry, Topology and Dynamics.

In this conference we will mainly focus on the second theme, giving account in particular on all the progress achieved on Smale's 17th problem: "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?"

This conference aims to cover as well the evolution of some of the themes, mainly on Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow, of the Spring 2006 Thematic Program on Holomorphic Dynamics, Laminations, and Hyperbolic Geometry, of which Mike Shub was also an organizer.

Program

Confirmed Participants

Full Name	University/Affiliation
Adcock, Ben	Purdue University
Amelunxen, Dennis	University of Paderborn
Armentano, Diego	Universidad de la República
Basu, Saugata	Purdue University
Beltrán, Carlos	Universidad de Cantabria
Berz, Martin	Michigan State University
Blum, Lenore	Carnegie Mellon University
Bonatti, Christian	Universite de Bourgogne
Brown, Aaron	Pennsylvania State University
Bürgisser, Peter	University of Paderborn
Burns, Keith	Northwestern University
Carrasco, Pablo	IMPA
Crovisier, Sylvain	CNRS - Université Paris-Sud 11
Cucker, Felipe	City University of Hong Kong
de la Llave, Rafael	Georgia Institute of Technology
Ferraz de Andrade, Rodrigo	Purdue University
Gerber, Marlies	Indiana University Bloomington
Hammerlindl, Andy	IMPA
Hao, Wenrui	University of Notre Dame
Hellenbrand, Kaitlyn	Texas A&M University
Herrera, Yoe	University of Oklahoma
Iserles, Arieh	University of Cambridge
Kim, Myong-Hi Nina	SUNY College at Old Westbury
Koiran, Pascal	ENS Lyon
Krick, Teresa	Universidad de Buenos Aires
Ledrappier, Francois	University of Notre Dame
Leykin, Anton	Georgia Institute of Technology
Makino, Kyoko	Michigan State University
Malajovich, Gregorio	Universidade Federal do Rio de Janeiro
Mann, Kathryn	University of Chicago
Meer, Klaus	Brandenburg University of Technology
Morfin Ramírez, Mario Leonardo	York University
Motta, Francis	Colorado State University
Newhouse, Sheldon	Michigan State University
Niemerg, Matthew	Colorado State University
Nitecki, Zbigniew	Tufts University
Pacifico, Maria José	Universidade Federal do Rio de Janeiro
Pardo, Luis Miguel	Universidad de Cantabria
Peña, Javier	Carnegie Mellon University
Pugh, Charles	University of Chicago
Pujals, Enrique	IMPA
Renegar, James	Cornell University
Rodriguez Hertz, Federico J.	Pennsylvania State University
Rodriguez Hertz, Maria Alejandra	IMERL
Rojas, J. Maurice	Texas A&M University
Roshchina, Vera	University of Ballarat
Rusek, Korben	Texas A&M University
Shub, Michael	Universidad de Buenos Aires
Simó, Carles	Universidad de Barcelona
Sulem, Catherine	University of Toronto
Sutherland, Scott	Stony Brook University
Todd, Michael J.	Cornell University
Török, Andrew	University of Houston
Tresser, Charles	IBM
Ugarcovici, Ilie	DePaul University
Ures, Raúl	IMERL
Vinzant, Cynthia	University of Michigan
Vytnova, Polina	University of Warwick
Weaver, Bryce	Pennsylvania State University
Weinberger, Shmuel	University of Chicago
Wilkinson, Amie	Northwestern University
Williams, Robert	Institute for Advanced Study
Wittig, Alexander	Michigan State University
Yessen, William	UC Irvine
Yomdin, Yosef	The Weizmann Institute of Science
Zhang, Ke	University of Toronto