Th\'eorie ergodique et g\'eom\'etrie arithm\'etique
Emmanuel Ullmo
TL;DR
This paper explores how ergodic theory concepts can be applied to solve problems in arithmetic and algebraic geometry through various illustrative examples.
Contribution
It introduces new applications of ergodic theory techniques to arithmetic and algebraic geometry problems.
Findings
Demonstrates ergodic theory's usefulness in arithmetic geometry
Provides specific examples linking ergodic concepts to geometric problems
Highlights potential for further interdisciplinary research
Abstract
We will present several examples in which ideas from ergodic theory can be useful to study some problems in arithmetic and algebraic geometry.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Topology and Set Theory