Wednesday |
Shillman Hall (SH) 220 |
9:30 – 11:40 |
Tutorial: Dan Steffy – Exact linear and integer programming • further material |
1:30 – 3:40 |
Tutorial: Mark van Hoeij – The complexity of factoring univariate polynomials over the rationals |
3:40 – 4:00 |
Break |
4:00 – 6:10 |
Tutorial: Pablo Parrilo – Convex algebraic geometry and semidefinite optimization • further material |
7:00 – 9:00 |
Opening Reception |
Thursday |
Room 1 (West Village F 20) | Room 2 (Shillman Hall (SH) 220) |
8:40 |
Opening remarks | |
9:00 – 10:00 |
Invited Talk: Henry Cohn – Solving equations with size constraints for the solutions | |
10:00 – 10:30 |
Break | |
| Bivariate systems | Software and Applications | |
10:30 – 10:55 |
Romain Lebreton, Esmaeil Mehrabi and Éric Schost. On the complexity of solving bivariate systems: the case of non-singular solutions | Joris van der Hoeven and Gregoire Lecerf. Interfacing Mathemagix with C++ |
10:55 – 11:20 |
Yacine Bouzidi, Sylvain Lazard, Marc Pouget and Fabrice Rouillier. Separating linear forms for bivariate systems | Mark Boady, Pavel Grinfeld and Jeremy Johnson. A Term Rewriting System for the Calculus of Moving Surfaces |
11:20 – 11:45 |
Yacine Bouzidi, Sylvain Lazard, Marc Pouget and Fabrice Rouillier. Rational Univariate Representations of bivariate systems and applications | Laureano Lambán, Francisco-Jesus Martin-Mateos, Julio Rubio and Jose-Luis Ruiz-Reina. Certified symbolic manipulation: bivariate simplicial polynomials |
11:45 – 1:30 |
Lunch | |
1:30 – 2:20 |
Invited Software Talk: Stephen Wolfram – Computer Algebra: A 32-Year Update | |
| Software Presentations I | Poster Session I (main foyer West Village F20) |
|
| 2:30 – 2:45 | Break |
Coffee and snacks available from 3:30 |
2:45 – 3:10 |
Christoph Koutschan. Holonomic Functions in Mathematica | |
| 3:10 – 3:35 | Erik Postma. The new GroupTheory package in Maple 17 | |
3:35 – 4:00 |
Break | |
| Fourier Tranforms | Computational Group Theory and Number theory | |
4:00 – 4:25 |
Yasuhito Kawano and Hiroshi Sekigawa. Quantum Fourier Transform over Symmetric Groups | Eric Bach and Jonathan Sorenson. Approximately Counting Semismooth Integers |
4:25 – 4:50 |
Andrew Arnold. A new Truncated Fourier Transform algorithm | Alexander Hulpke. Calculation of the Subgroups of a Trivial-Fitting Group |
4:50 – 5:15 |
Joris van der Hoeven, Romain Lebreton and Éric Schost. Structured FFT and TFT: symmetric and lattice polynomials | Anton Betten. Rainbow Cliques and the Classification of Small BLT-Sets |
5:30 – 6:45 |
ISSAC Business Meeting | |
6:45 – 7:30 |
SIGSAM Business Meeting | |
Friday |
Room 1 (West Village F 20) | Room 2 (Shillman Hall (SH) 220) |
9:00 – 10:00 |
Invited Talk: Hendrik Lenstra – Lattices with symmetry | |
10:00 – 10:30 |
Break | |
| Algebraic Algorithms | Difference equations | |
10:30 – 10:55 |
Jingwei Chen, Damien Stehle and Gilles Villard. A New View on HJLS and PSLQ: Sums and Projections of Lattices | Mariya Bessonov, Alexey Ovchinnikov and Maxwell Shapiro. Integrability conditions for parameterized linear difference equations |
10:55 – 11:20 |
Luca De Feo, Éric Schost and Javad Doliskani. Fast algorithms for l-adic towers over finite fields | Alexander Levin. Multivariate Difference-Differential Dimension Polynomials and New Invariants of Difference-Differential Field Extensions |
11:20 – 11:45 |
Valérie Berthé, Jean Creusefond, Loick Lhote and Brigitte Vallée. Multiple GCD's. Probabilistic analysis of the plain algorithm | Veronika Pillwein. Termination Conditions for Positivity Proving Procedures |
11:45 – 1:30 |
Lunch | |
| Linear algebra | Telescoping and Desingularization | |
1:30 – 1:55 |
Jean-Guillaume Dumas, Clément Pernet and Ziad Sultan. Simultaneous computation of the row and column rank profiles | Alin Bostan, Pierre Lairez and Bruno Salvy. Creative telescoping for rational functions using the Griffiths–Dwork method |
1:55 – 2:20 |
Colton Pauderis and Arne Storjohann. Computing the invariant structure of integer matrices: fast algorithms into practice | Alin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li and Guoce Xin. Hermite Reduction and Creative Telescoping for Hyperexponential Functions |
2:20 – 2:45 |
Wei Zhou and George Labahn. Computing Column Bases of Polynomial Matrices | Shaoshi Chen, Maximilian Jaroschek, Manuel Kauers and Michael Singer. Desingularization Explains Order-Degree Curves for Ore Operators |
| Software Presentations II | Poster Session II | |
| 2:45 – 3:00 | Break |
Coffee and snacks available from 3:30 |
3:00 – 3:25 |
Anton Betten. Classifying Discrete Objects with Orbiter | |
| 3:25 – 3:50 | Fredrik Johansson. Arb: a C library for ball arithmetic | |
3:50 – 4:15 |
Tien-Yien Li, Zhonggang Zeng.NAClab: A Matlab Toolbox for Numerical Algebraic Computation | |
| 4:15 – 4:30 | Break | |
| Solutions of Equations | Integration | |
4:30 – 4:55 |
Zhengfeng Yang, Lihong Zhi and Yijun Zhu. Verified Error Bounds for Real Solutions of Positive-dimensional Polynomial Systems | Clemens G. Raab. Integration of unspecified functions and families of iterated integrals |
4:55 – 5:20 |
Qingdong Guo, Mohab Safey El Din and Lihong Zhi. Computing rational solutions of linear matrix inequalities | Francois Boulier, François Lemaire, Georg Regensburger and Markus Rosenkranz. On the Integration of Differential Fractions |
5:20 – 5:45 |
Victor Y. Pan and Elias Tsigaridas. On the Boolean complexity of real root refinement | Alin Bostan, Frédéric Chyzak and Élie de Panafieu. Complexity Estimates for Two Uncoupling Algorithms |
7:00 |
Banquet | |
| Saturday | Room 1 (West Village F 20) | Room 2 (Shillman Hall (SH) 220) |
| 9:00 – 10:00 | Invited Talk: Mohab Safey El Din – Critical Point Methods and Effective Real Algebraic Geometry: New Results and Trends | |
| 10:00 – 10:30 | Break | |
| Resultants and Algebra | Gröbner Bases | |
| 10:30 – 10:55 | Alicia Dickenstein, Ioannis Emiris and Vissarion Fisikopoulos. Combinatorics of 4-dimensional Resultant Polytopes | Senshan Pan, Yupu Hu and Baocang Wang. The Termination of the F5 Algorithm Revisited |
| 10:55 – 11:20 | Romain Basson, Reynald Lercier, Christophe Ritzenthaler and Jeroen Sijsling. An explicit expression of the Luroth invariant | Bjarke Hammersholt Roune and Christian Eder. Signature Rewriting in Gröbner Basis Computation |
| 11:20 – 11:45 | Wei Li, Chun-Ming Yuan and Xiao-Shan Gao. Sparse Difference Resultant | Jean-Charles Faugère, Mohab Safey El Din and Thibaut Verron. On the Complexity of Computing Gröbner bases for quasi-homogeneous systems |
| 11:45 – 1:30 | Lunch | |
| Sparse polynomials | Gröbner Bases II | |
| 1:30 – 1:55 | Arkadev Chattopadhyay, Bruno Grenet, Pascal Koiran, Natacha Portier and Yann Strozecki. Factoring bivariate lacunary polynomials without heights | Viktor Levandovskyy, Benjamin Schnitzler and Grischa Studzinski. Enhanced computations of Gröbner bases in free algebras as a new application of the letterplace paradigm |
| 1:55 – 2:20 | Erich Kaltofen and Zhengfeng Yang. Sparse multivariate function recovery from values with noise and outlier errors | Jules Svartz and Jean-Charles Faugère. Gröbner bases of ideals invariant under a commutative group: the non-modular case |
| 2:25 – 2:50 | Jingguo Bi, Qi Cheng and J. Maurice Rojas. Sub-Linear Root Detection, and New Hardness Results, for Sparse Polynomials Over Finite Fields | |
| 3:00 – 3:30 | Maplesoft Demo: Jürgen Gerhard. What's new in Maple 17? | |
| 3:30 – 4:00 | Break | |
| Cylindrical Algebraic Decomposition | Differential Equations | |
| 4:00 – 4:25 | Russell Bradford, James Davenport, Matthew England, Scott McCallum and David Wilson. Cylindrical Algebraic Decompositions for Boolean Combinations | Vijay Kunwar and Mark van Hoeij. Second Order Differential Equations with Hypergeometric Solutions of Degree Three |
| 4:25 – 4:50 | Christopher Brown. Constructing a Single Open Cell in a Cylindrical Algebraic Decomposition | Fredrik Johansson, Manuel Kauers and Marc Mezzarobba. Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation |
| 4:50 – 5:15 | Kurt Mehlhorn, Michael Sagraloff and Pengming Wang. From Approximate Factorization to Root Isolation | Greg Reid and Wenyuan Wu. Numerical determination of witness points on real solution components of polynomial and differential polynomial systems |
| 5:20 | Closing | |
| 5:40 | Walking tour through Boston | |