Cantat Lab

Research focus

ERC Advanced Grant · 2021

Groups Of Algebraic Transformations

During the last decade, spectacular achievements have been performed in the study of groups of birational transformations of algebraic varieties. We now have a detailed understanding of such groups in dimension 2. Far less is known in higher dimensions, but the last five years saw the birth of a large array of techniques that apply in arbitrary dimensions. They include powerful tools from p-adic analysis, isometries of CAT(0) cube complexes, pluripotential theory, and algebraic geometry. Simultaneously, recent arithmetic equidistribution theorems have been combined with holomorphic dynamics to solve problems of unlikely intersection in the dynamics of polynomial maps and to study parameter…

From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.