Browsing by MSC "13"
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1506  Geometric and Algebraic Combinatorics
[OWR20155] (2015)  (01 Feb  07 Feb 2015)The 2015 Oberwolfach meeting “Geometric and Algebraic Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a wide variety ... 
1935  Geometric, Algebraic, and Topological Combinatorics
[OWR201939] (2019)  (25 Aug  31 Aug 2019)The 2019 Oberwolfach meeting "Geometric, Algebraic and Topological Combinatorics" was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a ... 
Geometry of Free Loci and Factorization of Noncommutative Polynomials
[OWP201723] (Mathematisches Forschungsinstitut Oberwolfach, 20171002)The free singularity locus of a noncommutative polynomial f is defined to be the sequence $Z_n(f)=\{X\in M_n^g : \det f(X)=0\}$ of hypersurfaces. The main theorem of this article shows that f is irreducible if and only if ... 
0915b  Hilbert Modules and Complex Geometry
[OWR200920] (2009)  (05 Apr  11 Apr 2009)The major topics discussed in this workshop were Hilbert modules of analytic functions on domains in ℂn, Toeplitz and Hankel operators, the interplay of commutative algebra, complex analytic geometry and multivariable ... 
1607b  Hochschild Cohomology in Algebra, Geometry, and Topology
[OWR201610] (2016)  (14 Feb  20 Feb 2016)In 1945 Gerhard Hochschild published "On the cohomology groups of an associative algebra" in the Annals of Mathematics and thereby created what is now called Hochschild theory. In 1963, Murray Gerstenhaber proved that the ... 
Infeasibility certificates for linear matrix inequalities
[OWP201128] (Mathematisches Forschungsinstitut Oberwolfach, 20110525)Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ... 
2207a  Interpolation, Approximation, and Algebra
[OWR20227] (2022)  (13 Feb  19 Feb 2022)This report involves two concepts of geometric modeling: multivariate data interpolation by polynomials, and the study of generalized bary\centric coordinates. These topics are connected to a wide range of of applications, ... 
0917  Kommutative Algebra
[OWR200922] (2009)  (19 Apr  25 Apr 2009)The workshop brought together researchers on various areas of Commutative Algebra. New results in combinatorial commutative algebra, homological methods and invariants, characteristic pmethods, and in general commutative ... 
0517  Kommutative Algebra
[OWR200519] (2005)  (24 Apr  30 Apr 2005)The lectures of the conference whose participants included a significant group of researchers from affine geometry were devoted to the following areas: characteristic pmethods, combinatorial commutative algebra and effective ... 
2040a  Lefschetz Properties in Algebra, Geometry and Combinatorics (hybrid meeting)
[OWR202031] (2020)  (27 Sep  03 Oct 2020)The themes of the workshop are the Weak Lefschetz Property  WLP  and the Strong Lefschetz Property  SLP. The name of these properties, referring to Artinian algebras, is motivated by the Lefschetz theory for projective ... 
Linear Syzygies, Hyperbolic Coxeter Groups and Regularity
[OWP201715] (Mathematisches Forschungsinstitut Oberwolfach, 20170524)We build a new bridge between geometric group theory and commutative algebra by showing that the virtual cohomological dimension of a Coxeter group is essentially the regularity of the Stanley–Reisner ring of its nerve. ... 
2104  Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications (online meeting)
[OWR20215] (2021)  (24 Jan  30 Jan 2021)The central topic of the workshop was the notion of logarithmic vector fields along a divisor in a smooth complex analytic or algebraic variety, i.e., the vector fields on the ambient variety tangent to the divisor. ... 
Matchings and Squarefree Powers of Edge Ideals
[OWP201925] (Mathematisches Forschungsinstitut Oberwolfach, 20191111)Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper we give bounds for the regularity of squarefree powers of edge ideals, and we consider the question of when such ... 
1336  Matrix Factorizations in Algebra, Geometry, and Physics
[OWR201344] (2013)  (01 Sep  07 Sep 2013)Let $W$ be a polynomial or power series in several variables, or, more generally, a nonzero element in some regular commutative ring. A matrix factorization of $W$ consists of a pair of square matrices $X$ and $Y$ of the ... 
A McKay Correspondence for Reflection Groups
[OWP201814] (Mathematisches Forschungsinstitut Oberwolfach, 20180702)We construct a noncommutative desingularization of the discriminant of a finite reflection group $G$ as a quotient of the skew group ring $A=S*G$. If $G$ is generated by order two reflections, then this quotient identifies ... 
2136b  MFORIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties (hybrid meeting)
[OWR202143] (2021)  (05 Sep  11 Sep 2021)The study of symmetry as a structural property of algebraic objects is one of the fundamental pillows of the developments of modern mathematics, most prominently beginning with the work of Abel and Galois. The focus of ... 
1050c  MiniWorkshop: Algebraic and Analytic Techniques for Polynomial Vector Fields
[OWR201057] (2010)  (12 Dec  18 Dec 2010)Polynomial vector fields are in the focus of research in various areas of mathematics and its applications. As a consequence, researchers from rather different disciplines work with polynomial vector fields. The main goal ... 
1609b  MiniWorkshop: Arrangements of Subvarieties, and their Applications in Algebraic Geometry
[OWR201614] (2016)  (28 Feb  05 Mar 2016)While arrangements of hyperplanes have been studied in algebra, combinatorics and geometry for a long time, recent discoveries suggest that they (and more generally arrangements of nonlinear subvarieties) play an even more ... 
1840b  MiniWorkshop: Asymptotic Invariants of Homogeneous Ideals
[OWR201845] (2018)  (30 Sep  06 Oct 2018)Recent decades have witnessed a shift in interest from isolated objects to families of objects and their limit behavior, both in algebraic geometry and in commutative algebra. A series of various invariants have been ... 
1810a  MiniWorkshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory
[OWR20189] (2018)  (04 Mar  10 Mar 2018)This miniworkshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, ...