albatross-2026 : ALgeBrAic meThods foR pOlynomial System Solving 2026
1-4 Sep 2026 Paris (France)
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Program
Week
Tue. 01
Wed. 02
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Tue. 01
Wed. 02
Thu. 03
Fri. 04
08:00
09:00
10:00
11:00
12:00
13:00
14:00
15:00
16:00
17:00
18:00
19:00
20:00
21:00
22:00
Welcoming remarks
8:50 - 9:00 (10min)
Welcoming remarks
CICSU 44-45, 108
Organizers
Algebraic algorithms for polynomial system solving and msolve --- the past, the present and the future
9:00 - 10:00 (1h)
Algebraic algorithms for polynomial system solving and msolve --- the past, the present and the future
CICSU 44-45, 108
Christian Eder
Coffee Break
10:00 - 10:30 (30min)
Coffee Break
CICSU 44-45, 102
Computing the resultant of equivariant polynomial systems
10:30 - 11:00 (30min)
Computing the resultant of equivariant polynomial systems
CICSU 44-45, 108
Gael Druez
Toward a unified theory for common affine roots of general sets of multivariate polynomials
11:00 - 11:30 (30min)
Toward a unified theory for common affine roots of general sets of multivariate polynomials
CICSU 44-45, 108
Olav Geil
A new data structure for monomial ideals with applications to signature Gröbner bases
11:30 - 12:00 (30min)
A new data structure for monomial ideals with applications to signature Gröbner bases
CICSU 44-45, 108
Théo Ternier
Lunch
12:00 - 14:00 (2h)
Lunch
Algebro-Geometric Methods in Program Synthesis and Verification
14:00 - 15:30 (1h30)
Algebro-Geometric Methods in Program Synthesis and Verification
CICSU 44-45, 108
Fatemeh Mohammadi
Coffee Break
15:30 - 16:00 (30min)
Coffee Break
CICSU 44-45, 102
Simple generators of rational function fields via adaptive interpolation and Gröbner Bases
16:00 - 16:30 (30min)
Simple generators of rational function fields via adaptive interpolation and Gröbner Bases
CICSU 44-45, 108
Alexander Demin
Some applications of A-resultants
16:30 - 17:00 (30min)
Some applications of A-resultants
CICSU 44-45, 108
Matthias Zach
Computational Real Algebraic Geometry in Action: From Dynamical Systems to Robotics
9:00 - 10:30 (1h30)
Computational Real Algebraic Geometry in Action: From Dynamical Systems to Robotics
CICSU 44-45, 108
Rémi Prébet
Coffee Break
10:30 - 11:00 (30min)
Coffee Break
CICSU 44-45, 102
Computational Real Algebraic Geometry in Action - Tutorial
11:00 - 12:00 (1h)
Computational Real Algebraic Geometry in Action - Tutorial
CICSU 44-45, 108
Rémi Prébet
Lunch
12:00 - 14:00 (2h)
Lunch
Practical Study on Solving Polynomial Systems corresponding to Algebraic Attacks on Symmetric Primitives
14:00 - 14:30 (30min)
Practical Study on Solving Polynomial Systems corresponding to Algebraic Attacks on Symmetric Primitives
CICSU 44-45, 108
Baptiste Daumen
Improving scalability in MQ solving: A memory-access study on the XL-Wiedemann algorithm
14:30 - 15:00 (30min)
Improving scalability in MQ solving: A memory-access study on the XL-Wiedemann algorithm
CICSU 44-45, 108
Felipe Merino Toro
Genericity in multivariate cryptography
15:00 - 15:30 (30min)
Genericity in multivariate cryptography
CICSU 44-45, 108
Pierre Pébereau
Coffee Break
15:30 - 16:00 (30min)
Coffee Break
CICSU 44-45, 102
Determination Problems for Orbit Closures and Matrix Groups
16:00 - 16:30 (30min)
Determination Problems for Orbit Closures and Matrix Groups
CICSU 44-45, 108
George Kenison
Algebraic Closure of Matrix Sets Recognized by 1-VASS
16:30 - 17:00 (30min)
Algebraic Closure of Matrix Sets Recognized by 1-VASS
CICSU 44-45, 108
Mahsa Naraghi
Break
17:00 - 19:30 (2h30)
Break
Social Dinner
19:30 - 22:00 (2h30)
Social Dinner
CICSU 44-45, 102
Exact sum-of-squares certificates and peak estimation problems in dynamical systems
9:00 - 10:30 (1h30)
Exact sum-of-squares certificates and peak estimation problems in dynamical systems
CICSU 44-45, 108
Mauricio Velasco
Coffee Break
10:30 - 11:00 (30min)
Coffee Break
CICSU 44-45, 102
A Spurious Local Minimum for the Logarithmic Fekete Problem on S2 using Gröbner Bases and Interval Arithmetic via msolve
11:00 - 12:00 (1h)
A Spurious Local Minimum for the Logarithmic Fekete Problem on S2 using Gröbner Bases and Interval Arithmetic via msolve
CICSU 44-45, 108
Matías Valdes
Lunch
12:00 - 14:00 (2h)
Lunch
Computing algebraic degrees of phylogenetic varieties
14:00 - 14:30 (30min)
Computing algebraic degrees of phylogenetic varieties
CICSU 44-45, 108
Elima Shehu
Graphical Models and their Polynomial Systems in OSCAR
14:30 - 15:00 (30min)
Graphical Models and their Polynomial Systems in OSCAR
CICSU 44-45, 108
Antony Della Vecchia
Arrangements and Likelihood
15:00 - 15:30 (30min)
Arrangements and Likelihood
CICSU 44-45, 108
Maximilian Wiesmann
Coffee Break
15:30 - 16:00 (30min)
Coffee Break
CICSU 44-45, 102
Computer-assisted results in computer vision
16:00 - 16:30 (30min)
Computer-assisted results in computer vision
CICSU 44-45, 108
Anton Leykin
Solving Stengle's example in rational arithmetic: exact values of the moment-SOS relaxation
16:30 - 17:00 (30min)
Solving Stengle's example in rational arithmetic: exact values of the moment-SOS relaxation
CICSU 44-45, 108
Didier Henrion
From Circuits to Ideals: Gröbner Bases for Formal Verification
9:00 - 10:30 (1h30)
From Circuits to Ideals: Gröbner Bases for Formal Verification
CICSU 44-45, 108
Daniela Kaufmann
Coffee Break
10:30 - 11:00 (30min)
Coffee Break
CICSU 44-45, 102
Noncommutative Gröbner Bases – Theory, Applications, and Software
11:00 - 11:30 (30min)
Noncommutative Gröbner Bases – Theory, Applications, and Software
CICSU 44-45, 108
Clemens Hofstadler
Chow classes of Generalized Schubert varieties
11:30 - 12:00 (30min)
Chow classes of Generalized Schubert varieties
CICSU 44-45, 108
Matěj Doležálek
Lunch
12:00 - 14:00 (2h)
Lunch
Polynomial systems in parameter estimation for ODE models
14:00 - 14:30 (30min)
Polynomial systems in parameter estimation for ODE models
CICSU 44-45, 108
Alexey Ovchinnikov
Positivity Certificates for Polynomials over D-finite solutions
14:30 - 15:00 (30min)
Positivity Certificates for Polynomials over D-finite solutions
CICSU 44-45, 108
Alaa Ibrahim
Coffee Break
15:00 - 15:30 (30min)
Coffee Break
CICSU 44-45, 102
When Homotopy Gets Real: Numerical Decomposition of Real Algebraic Curves and Surfaces in Julia
15:30 - 16:00 (30min)
When Homotopy Gets Real: Numerical Decomposition of Real Algebraic Curves and Surfaces in Julia
CICSU 44-45, 108
Juan Camilo Gonzalez
Degenerating Discriminants
16:00 - 16:30 (30min)
Degenerating Discriminants
CICSU 44-45, 108
Clara Briand
Concluding remarks
16:30 - 16:40 (10min)
Concluding remarks
CICSU 44-45, 108
Organizers
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