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stamate dumitru i. (curatore); szemberg tomasz (curatore) - combinatorial structures in algebra and geometry

Combinatorial Structures in Algebra and Geometry NSA 26, Constan?a, Romania, August 26–September 1, 2018

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Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 09/2020
Edizione: 1st ed. 2020





Trama

This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constan?a, 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.

This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title "Multigraded Algebra and Applications" (ISBN 978-3-319-90493-1). 






Sommario






Autore

Dumitru I. Stamate holds a PhD in Mathematics (2009) from the University of Bucharest, Romania and two MSc degrees in Mathematics (2004), one from the Scoala Normala Superioara Bucuresti, Romania, and the other from the University of Ia?i. He is currently an Assistant Professor at the University of Bucharest, Romania. His research focuses on commutative algebra, particularly problems related to free resolutions, computational algebra and combinatorics.

Tomasz Szemberg is a Professor at the Pedagogical University National Education Committee in Krakow, Poland. He completed his PhD in Mathematics (1994) at the Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany, and his MSc (1990) at the Jagiellonian University, Poland. In 2002, he received his postdoctoral qualification in Mathematical Sciences and in 2014, the academic title of Professor of Mathematical Sciences. His research interests encompass the fields of commutative algebra, algebraic geometry and discrete mathematics.











Altre Informazioni

ISBN:

9783030521103

Condizione: Nuovo
Collana: Springer Proceedings in Mathematics & Statistics
Dimensioni: 235 x 155 mm Ø 459 gr
Formato: Copertina rigida
Illustration Notes:VIII, 182 p. 40 illus., 6 illus. in color.
Pagine Arabe: 182
Pagine Romane: viii


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