François Loeser

Learn More
We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative settings. This allows us to define a motivic Fourier transformation for which we get various inversion statements. We also define spaces of motivic Schwartz-Bruhat functions on which motivic Fourier(More)
We develop a theory of motivic integration for smooth rigid varieties. As an application we obtain a motivic analogue for rigid varieties of Serre's invariant for p-adic varieties. Our construction provides new geometric birational invariants of degener-ations of algebraic varieties. For degenerations of Calabi-Yau varieties, our results take a stronger(More)
We prove that a (globally) subanalytic function f : X ⊂ Q n p → Q p which is locally Lipschitz continuous with some constant C is piecewise (globally on each piece) Lipschitz continuous with possibly some other constant, where the pieces can be taken to be subanalytic. We also prove the analogous result for a subanalytic family of functions f y : X y ⊂ Q n(More)
The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics. Game Theory in Action is an undergraduate textbook about using game theory across a range of real-life scenarios. From traffic accidents to the sex lives of lizards, Stephen(More)