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Deautonomisation by singularity confinement and degree growth of birational maps of the plane

组织者

安东·贾马伊

演讲者

Alexander Stokes

时间

2026年04月14日 15:30 至 16:30

地点

A6-101

线上

Zoom 537 192 5549 (BIMSA)

摘要

For a discrete dynamical system defined by a birational mapping of the plane, growth of complexity is measured by its algebraic entropy. In the field of discrete integrable systems there is a procedure called deautonomisation by singularity confinement, that produces a non-autonomous version of the system, i.e. a sequence or family of maps, with the same structure of singularities. In studying examples, the surprising observation was made that the algebraic entropy is reflected in the conditions required of evolution of the parameters in the map when deautonomised. In this talk we sketch a geometric explanation of this phenomenon, using a kind of period map for rational surfaces with effective anticanonical divisor.