ERC Consolidator Grant · 2022
Sharply o-minimal Structures: towards a theory of arithmetically tame geometry
O-minimality is a model-theoretic formalism of tame geometry. Sets that are definable in o-minimal structures enjoy strong finiteness properties, such as the existence of finite stratifications and triangulations. While drawing inspiration from the classical areas of semialgebraic and subanalytic geometry, o-minimality encompasses a strictly larger range of structures - most notably structures defined using the logarithmic and exponential functions. In the past 15 years o-minimality has enjoyed a golden age, as deep connections relating these larger structures to arithmetic geometry and Hodge theory have been unfolding. However, over this period it has become clear that some finer aspects…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.