This volumepresents a lively introduction to the rapidly developing and vast research areas surroundingCalabi Yau varieties and string theory.With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area.
The contributions in this book are basedon lectures that took place during workshops with the following thematictitles: Modular Forms Around String Theory,...
This volumepresents a lively introduction to the rapidly developing and vast research areas surroundingCalabi Yau varieties and string theory.With ...
This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the...
This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and s...
This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains.
This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative s...