Definitions of mathematical integration | Algebraic geometry
Motivic integration is a notion in algebraic geometry that was introduced by Maxim Kontsevich in 1995 and was developed by Jan Denef and François Loeser. Since its introduction it has proved to be quite useful in various branches of algebraic geometry, most notably birational geometry and singularity theory. Roughly speaking, motivic integration assigns to subsets of the arc space of an algebraic variety, a volume living in the Grothendieck ring of algebraic varieties. The naming 'motivic' mirrors the fact that unlike ordinary integration, for which the values are real numbers, in motivic integration the values are geometric in nature. (Wikipedia).
Integration 12 Trigonometric Integration Part 2 Example 4.mov
Another example of trigonometric integration.
From playlist Integration
Integration 12 Trigonometric Integration Part 2 Example 3.mov
Another example of trigonometric integration.
From playlist Integration
Integration 12 Trigonometric Integration Part 2 Example 1.mov
An example of trigonometric integration.
From playlist Integration
Integration 12 Trigonometric Integration Part 2 Example 2.mov
Another example of trigonometric integration.
From playlist Integration
Integration 12 Trigonometric Integration Part 5 Example 1.mov
Example of trigonometric integration.
From playlist Integration
Integration 12 Trigonometric Integration Part 3.mov
Trigonometric integration.
From playlist Integration
Integration 12 Trigonometric Integration Part 1.mov
Introduction to trigonometric integration.
From playlist Integration
Can p-adic integrals be computed? - Thomas Hales
Automorphic Forms Thomas Hales April 6, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Conference Agena: ht
From playlist Mathematics
Multiple Zeta Values - Francis Brown
Francis Brown CNRS/Institut de Math. de Jussieu, Paris April 19, 2012 I will report on some recent work on multiple zeta values. I will sketch the definition of motivic multiple zeta values, which can be viewed as a prototype of a Galois theory for certain transcendental numbers, and then
From playlist Mathematics
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Francis Brown - Quantum Field Theory and Arithmetic
Quantum Field Theory and Arithmetic
From playlist 28ème Journées Arithmétiques 2013
Motivic correlators and locally symmetric spaces III - Alexander Goncharov
Locally Symmetric Spaces Seminar Topic: Motivic correlators and locally symmetric spaces III Speaker: Alexander Goncharov Affiliation: Yale University; Member, School of Mathematics and Natural Sciences Date: October 31, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Francis Brown - 1/4 Mixed Modular Motives and Modular Forms for SL_2 (\Z)
In the `Esquisse d'un programme', Grothendieck proposed studying the action of the absolute Galois group upon the system of profinite fundamental groups of moduli spaces of curves of genus g with n marked points. Around 1990, Ihara, Drinfeld and Deligne independently initiated the study of
From playlist Francis Brown - Mixed Modular Motives and Modular Forms for SL_2 (\Z)
Automorphic forms and motivic cohomology II - Akshay Venkatesh
Locally Symmetric Spaces Seminar Topic: Automorphic forms and motivic cohomology II Speaker: Akshay Venkatesh Affiliation: Stanford University; Distinguished Visiting Professor, School of Mathematics Date: November 21, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Motivic integration and p-adic reductive groups - J. Gordon - Workshop 2 - CEB T1 2018
Julia Gordon (U. British Colombia) Motivic integration and p-adic reductive groups. I will survey the state of the long-term program initiated by T.C. Hales of making representation theory of p-adic groups “motivic” (in the sense of motivic integration), and some applications of this ap
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Virtual rigid motives of definable sets in valued fields - A. Forey - Workshop 2 - CEB T1 2018
Arthur Forey (Sorbonne Université) / 08.03.2018 Virtual rigid motives of definable sets in valued fields. In an instance of motivic integration, Hrushovski and Kazhdan study the definable sets in the theory of algebraically closed valued fields of characteristic zero. They show that the
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Annette Huber-Klawitter: Periods of 1-motives
Abstract: (joint work with G. Wüstholz) Roughly, 1-dimensional periods are the complex numbers obtained by integrating a differential form on an algebraic curve over Q¯ over a suitable domain of integration. One of the alternative characterisations is as periods of Deligne 1-motives. We c
From playlist Algebraic and Complex Geometry
Integration 12 Trigonometric Integration Part 4.mov
Trigonometric integration.
From playlist Integration