Playlist: 30 videos

Solving Polynomial Equations

Oct. 13 – Oct. 16, 2014

Polynomial equations and inequalities are ubiquitous in the mathematical sciences and their applications. This workshop will focus on recent algorithmic advances, both numeric and symbolic, on novel domains of application...

0:30:4

Families of Anticommuting Matrices and the Sum of Squares Problem

Pavel Hrubeš, Academy of Sciences of the Czech Republic
Solving Polynomial Equations
http://simons.berkeley.edu/talks/pavel-hrubes-2014-10-15
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0:29:52

Degree of Central Curve in Quadratic Programming

Serkan Hosten, San Francisco State University
Solving Polynomial Equations
http://simons.berkeley.edu/talks/serkan-hosten-2014-10-15
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1:9:34

A Taxonomy of Fixed Point Computation Problems for Algebraically-Defined Functions, and their Computational Complexity

Kousha Etessami, University of Edinburgh
Solving Polynomial Equations
http://simons.berkeley.edu/talks/kousha-etessami-2014-10-16
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0:26:8

On the Complexity of Solving Bivariate Systems

Éric Schost, Western University
Solving Polynomial Equations
http://simons.berkeley.edu/talks/eric-schost-2014-10-16
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0:25:25

Recent Progress on Computing Groebner Bases

Shuhong Gao, Clemson University
Solving Polynomial Equations
http://simons.berkeley.edu/talks/shuhong-gao-2014-10-16
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0:35:5

Mixed Volume Computation in (another) Mixed Volume Time

Gregorio Malajovich, Universidade Federal do Rio de Janeiro
Solving Polynomial Equations
http://simons.berkeley.edu/talks/gregorio-malajovich-2014-10-16
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1:0:6

Solving Polynomial Equations in Smoothed Polynomial Time

Peter Bürgisser, Technische Universität Berlin
Solving Polynomial Equations
http://simons.berkeley.edu/talks/peter-burgisser-2014-10-16
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0:27:23

A Theory of Complexity, Condition and Roundoff

Felipe Cucker, City University of Hong Kong
Solving Polynomial Equations
http://simons.berkeley.edu/talks/felipe-cucker-2014-10-16
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0:28:32

Some Results and Questions as to the Complexity of the (Eigenvalue, Eigenvector) Problem

Michael Shub, City University of New York
Solving Polynomial Equations
http://simons.berkeley.edu/talks/michael-shub-2014-10-16
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