Handbook of Combinatorial Algebraic Geometry: Subvarieties of the Flag Variety (Discrete Mathematics and Its Applications)

This handbook presents a thorough introduction to current topics of mathematical research in combinatorial algebraic geometry.The editors’ aim is to introduce researchers to key literature from the past 20-30 years needed to address open questions in the field.The chapters of Handbook of Combinatorial Algebraic Geometry: Subvarieties of the Flag Variety give concrete, computational examples of Lie-theoretic and combinatorial tools applied to the geometry of flag varieties and their subvarieties.Lie theory provides a common language for the articles in this text, so while chapters are self-contained, it is recommended readers have some prior familiarity with the foundations of the subject.Each chapter benefits multiple sets of readers including:Graduate students seeking to conduct research in algebraic combinatorics and Lie theory.New researchers will be introduced to relevant techniques used to prove key results and gain insight from leading researchers into the context of these result