Markus Schweighofer - Presentations

Pure states for polynomial nonnegativity certificates in the presence of zeros
POP23 - Future trends in polynomial optimization
LAAS-CNRS, Toulouse, France (2023)
Pure states and the stability number of graphs
The 19th EWM General Meeting, Minisymposium on real algebraic geometry in action with a view toward optimization
Aalto-yliopisto, Helsinki/Espoo, Finland (2022)
Spectrahedral relaxations of hyperbolicity cones (video)
POEMA Workshop 3
online due to pandemic, originally planned at INRIA Sophia Antipolis, France (2021)
Spectrahedral relaxations of hyperbolicity cones
Workshop on real algebraic geometry with a view toward hyperbolic programming and free probability
Mathematisches Forschungsinstitut Oberwolfach, Germany (2020)
On the exactness of Lasserre relaxations of SPIs and POPs
Workshop MEGAR: Métodos Efectivos en Geometría Algebraica Real
Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid (2019)
On the exactness of Lasserre relaxations of SPIs and POPs
Workshop on mixed-integer nonlinear optimization: a hatchery for modern mathematics
Mathematisches Forschungsinstitut Oberwolfach, Germany (2019)
New results on the exactness of Lasserre relaxations for compact basic closed semialgebraic sets
Semidefinite and Matrix Methods for Optimization and Communications, Workshop on Positive Semidefinite Rank
National University of Singapore (2016)
Inclusion of spectrahedra, free spectrahedra and coin tossing
Graduiertenkolleg Methods for Discrete Structures
TU Berlin, Germany (2015)
Univariate stable polynomials
Arbeitsgemeinschaft on The Kadison-Singer Conjecture
Mathematisches Forschungsinstitut Oberwolfach, Germany (2015)
On the exactness of moment relaxations
Limitations of convex programming: lower bounds on extended formulations and factorization ranks
Schloss Dagstuhl, Germany (2015)
Positive polynomials, sums of squares, degree bounds and semidefinite representations
Meeting on Real Algebraic Geometry With A View Toward Systems Control and Free Positivity
Mathematisches Forschungsinstitut Oberwolfach, Germany (2014)
Optimisation polynomiale via la programmation semidéfinie et construction de Gelfand-Naimark-Segal tronquée
Séminaire Parisien d’Optimisation
Institut Henri Poincare, Paris, France (2013)
A constructive approach to Putinar’s and Schmüdgen’s Positivstellensätze with applications to degree bounds and matrix polynomials
Workshop on Structured Function Systems and Applications
Mathematisches Forschungsinstitut Oberwolfach, Germany (2013)
Introduction to polynomial optimization
Summer School on Semidefinite Optimization
Haus Karrenberg, Kirchberg, Hunsrück, Germany (2012)
This talk comes with an exercise sheet.
The sums of squares dual of a semidefinite program
21st International Symposium on Mathematical Programming
TU Berlin (2012)
The iterated square root ideal and the sums of squares dual of a semidefinite program
Solving Polynomial Equations - Algebraic Geometry with a view towards applications
Institut Mittag-Leffler, Kungliga Tekniska högskolan, Stockholm (2011)
The sums of squares dual of a semidefinite program
Convex Optimization and Algebraic Geometry - Modern Trends in Optimization and Its Application
Institute for Pure & Applied Mathematics, University of California, Los Angeles (2010)
Describing convex semialgebraic sets by linear matrix inequalities
International Symposium on Symbolic and Algebraic Computation
Korea Institute for Advanced Study, Seoul (2009)
Ensembles semi-algébriques convexes, inégalités matricielles linéaires et sommes de carrés
Colloquium
Institut de Mathématiques de Bordeaux (2008)
Kann man ein polynomiales Ungleichungssystem linearisieren?
Otto-von-Guericke-Universität Magdeburg (2008)
Which sets can be described by linear matrix inequalities?
Algebra in Optimization - Minisymposium at 5th European Congress of Mathematics
Amsterdam (2008)
Peut-on linéariser les systèmes d'inégalités polynomiales?
Séminaire de Géométrie Algébrique Réelle
Université d'Angers (2008)
Peut-on linéariser les systèmes d'inégalités polynomiales?
Séminaire d'Algèbre-Géométrie
Université de Brest (2008)
Can a system of polynomial inequalities be written as a linear matrix inequality?
HPOPT 2008 - 10th International Workshop on High Performance Optimization Techniques
Universiteit van Tilburg (2008)
Reelle Algebra und nichtlineare Optimierung
Antrittsvorlesung, dies academicus
Universität Konstanz (2007)
Complexity aspects of SDP relaxations of polynomial optimization problems
IMA Thematic Year on Applications of Algebraic Geometry, Workshop "Optimization and Control"
University of Minnesota, Minneapolis (2007)
Using semidefinite programming for polynomial optimization problems
Workshop "Algorithms in real algebraic geometry and applications"
Île d'Ouessant, Bretagne (2005)
Positive polynomials and convergence of LP and SDP relaxations
Mini working seminar on polynomial parametric optimization
ETH Automatic Control Laboratory, Zürich (2005)
Positive polynomials and optimization
HPOPT 2004 - 8th International Workshop on High Performance Optimization Techniques
Centrum voor Wiskunde en Informatica, Amsterdam (2004)
Sums of squares, moments and optimization
Summer School and Conference on Real Algebraic Geometry and its Applications
abdus salam international centre for theoretical physics, Trieste (2003)