This is the web-page of the reading group dedicated to the study of Hrushovski-Kazhdan and Cluckers-Loeser motivic integration frameworks.
| Date | Speaker | Subject |
|---|---|---|
| Feb 2 | Dmitry | HK: quantifier elimination, definitions of Grothendieck semirings, dimensions, the morphism L. descent to RV |
| Feb 16 | Arthur | HK: Well-definedness of L, special bijections. |
| Mar 2 | Arthur | HK: Special bijections, continuation. (first half of section 7) |
| Mar 9 | Dmitry | HK: RV-blowups, kernel of L. Orthogonality between residue field and \Gama. isomorphism between K_+ RV and K_+ RES \otimes K_+ \Gamma. |
| Apr 6 | ?? | HK: differentiation in VF and RV, integration with definable volume forms |
| Apr 13 | Dmitry, Jorge | HK: injectivity of morphism K_RES \otimes K_+ \Gamma \to
K_+ \RV
forms CL: introduction |
| HK: Integration with an additive character. | ||
| CL: Denef-Pas cell decomposition, jacobian property, constructible functions (without exponential) | ||
| CL: Constructible exponential functions, push-forward for auxiliary variables | ||
| CL: Axioms of integration, integrals in relative dimension 1. | ||
| CL: General integrals, Fubini Integration with an additive character. |