Foreword ........................................................ v
Preface ...................................................... vii
Application of a numerical version of Terracini's lemma
for secants and joins ........................................... 1
Daniel J. Bates, Chris Peterson, and Andrew J. Sommese
On the sharpness of fewnomial bounds and the number
of components of fewnomial hypersurfaces ....................... 15
Frédéric Bihan, J. Maurice Rojas, and Frank Sottile
Intersections of Schubert varieties and other permutation
array schemes .................................................. 21
Sara Billey and Ravi Vakil
Efficient inversion of rational maps over finite fields ........ 55
Antonio Cafure, Guillermo Matera, and Ariel Waissbein
Higher-order deflation for polynomial systems with
isolated singular solutions .................................... 79
Anton Leykin, Jan Verschelde, and Ailing Zhao
Polars of real singular plane curves ........................... 99
Heidi Camilla Mork and Ragni Piene
Semidefinite representation of the k-ellipse .................. 117
Jiawang Nie, Pablo A. Parrilo, and Bernd Sturmfels
Solving polynomial systems equation by equation ............... 133
Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler
List of workshop participants ................................. 153
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