Combinatorial Structures in Algebra and Geometry
Combinatorial Structures in Algebra and Geometry: NSA 26, Constanța, Romania, August 26–September 1, 2018
by Dumitru I. Stamate
English | 2020 | ISBN: 3030521109 | 190 Pages | PDF EPUB | 12 MB
by Dumitru I. Stamate
English | 2020 | ISBN: 3030521109 | 190 Pages | PDF EPUB | 12 MB
This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and multiplier ideals in algebra.