Browsing Oberwolfach Reports by MSC "13"
Now showing items 2140 of 58

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 ... 
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. ... 
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 ... 
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, ... 
1240c  MiniWorkshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties
[OWR201249] (2012)  (01 Oct  06 Oct 2012)The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and ... 
1320b  MiniWorkshop: Constructive Homological Algebra with Applications to Coherent Sheaves and Control Theory
[OWR201325] (2013)  (12 May  18 May 2013)The main objective of this miniworkshop is to bring together recent developments in constructive homological algebra. There, the current state already reached a level of generality which allows simultaneous application ... 
2047b  MiniWorkshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case (online meeting)
[OWR202035] (2020)  (15 Nov  21 Nov 2020)The goal of this miniworkshop is to gather specialists of the dimer, Ising and spanning tree models around recent and ongoing progress in two directions. One is understanding the connection to the spectral curve of these ... 
0946b  MiniWorkshop: Formal Methods in Commutative Algebra: A View Toward Constructive Homological Algebra
[OWR200950] (2009)  (08 Nov  14 Nov 2009)The purpose of the miniworkshop is to bring into the same place diﬀerent mathematical communities that study constructive homological algebra and are motivated by diﬀerent applications (e.g., constructive algebra, symbolic ... 
1545a  MiniWorkshop: Friezes
[OWR201548] (2015)  (01 Nov  07 Nov 2015)Frieze patterns were introduced in the early 1970s by Coxeter. They are infinite arrays of numbers in which every four neighbouring entries always satisfy the same arithmetic relation. Amazingly, friezes appear in many ... 
1508a  MiniWorkshop: Ideals of Linear Subspaces, Their Symbolic Powers and Waring Problems
[OWR20159] (2015)  (15 Feb  21 Feb 2015)It is a fundamental challenge for many problems of significant current interest in algebraic geometry and commutative algebra to understand symbolic powers $I^{(m)}$ of homogeneous ideals $I$ in polynomial rings, particularly ... 
1320c  MiniWorkshop: Localising and Tilting in Abelian and Triangulated Categories
[OWR201326] (2013)  (12 May  18 May 2013)The workshop brought together experts on localisation theory and tilting theory from different parts of mathematics with the aim of fully exploiting the power of some recent developments in so far rather independent contexts. ... 
2149b  MiniWorkshop: Scattering Amplitudes, Cluster Algebras, and Positive Geometries (hybrid meeting)
[OWR202157] (2021)  (05 Dec  11 Dec 2021)Cluster algebras were developed by Fomin and Zelevinsky about twenty years ago. While the initial motivation came from within algebra (total positivity, canonical bases), it quickly became clear that cluster algebras ... 
1946c  MiniWorkshop: Seshadri Constants
[OWR201953] (2019)  (10 Nov  16 Nov 2019)Seshadri constants were defined by Demailly around 30 years ago using the ampleness criterion of Seshadri. Demailly was interested in studying problems related to separation of jets of line bundles on projective varieties, ... 
2009b  MiniWorkshop: Superpotentials in Algebra and Geometry
[OWR202010] (2020)  (23 Feb  29 Feb 2020)Mirror symmetry has been at the epicenter of many mathematical discoveries in the past twenty years. It was discovered by physicists in the setting of super conformal field theories (SCFTs) associated to closed string ... 
0908c  MiniWorkshop: Support Varieties
[OWR200910] (2009)  (15 Feb  21 Feb 2009)The notion of support is a fundamental concept which provides a geometric approach for studying various algebraic structures. The prototype for this has been Quillen’s description of the algebraic variety corresponding to ...