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Global Aspects of Complex Geometry
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
Calabi-Yau Varieties and Mirror Symmetry
The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularit...
Algebraic Cycles and Motives: Volume 2
A self-contained account of the subject of algebraic cycles and motives as it stands.
Algebraic and Complex Geometry
Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were highlighted at the conference “Algebraic and Complex Geometry” held September 2012 in Hannover, Germany. These two subjects of recent ongoing progress belong to the most spectacular developments in Algebraic and Complex Geometry. Irreducible symplectic manifolds are of interest to algebraic and differential geometers alike, behaving similar to K3 surfaces and abelian varieties in certain ways, but being by far less well-understood. Moduli spaces, on the other hand, have been a rich source of open questions and discoveries for decades and still continue to be a hot topic in itself as well as with its interplay with neighbouring fields such as arithmetic geometry and string theory. Beyond the above focal topics this volume reflects the broad diversity of lectures at the conference and comprises 11 papers on current research from different areas of algebraic and complex geometry sorted in alphabetic order by the first author. It also includes a full list of speakers with all titles and abstracts.
Geometry in a Fréchet Context
A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.
Recent Progress in the Theory of the Euler and Navier-Stokes Equations
An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.
Modular Representations of Finite Groups of Lie Type
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Elliptic Cohomology
First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.
Automorphic Forms and Galois Representations
Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.
Recent Advances in Algebraic Geometry
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
