Geometric topology | Surgery theory
In geometric topology, the de Rham invariant is a mod 2 invariant of a (4k+1)-dimensional manifold, that is, an element of – either 0 or 1. It can be thought of as the simply-connected symmetric L-group and thus analogous to the other invariants from L-theory: the signature, a 4k-dimensional invariant (either symmetric or quadratic, ), and the Kervaire invariant, a (4k+2)-dimensional quadratic invariant It is named for Swiss mathematician Georges de Rham, and used in surgery theory. (Wikipedia).
Olivia Dumitrescu - Lagrangian Fibration of the de Rham Moduli Space and Gaiotto Correspondence
There have been new developments in understanding Lagrangian fibrations of the de Rham moduli space in connection to Lagrangian stratifications of the Dolbeault moduli space through biholomorphic isomorphisms of the Lagrangian fibers. I will report recent results by different groups of aut
From playlist Resurgence in Mathematics and Physics
Florian Herzig: On de Rham lifts of local Galois representations
Find other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies,
From playlist Algebraic and Complex Geometry
Vladimir Berkovich: de Rham theorem in non-Archimedean analytic geometry
Abstract: In my work in progress on complex analytic vanishing cycles for formal schemes, I have defined integral "etale" cohomology groups of a compact strictly analytic space over the field of Laurent power series with complex coefficients. These are finitely generated abelian groups pro
From playlist Algebraic and Complex Geometry
B. Bhatt - Prisms and deformations of de Rham cohomology
Prisms are generalizations of perfectoid rings to a setting where "Frobenius need not be an isomorphism". I will explain the definition and use it to construct a prismatic site for any scheme. The resulting prismatic cohomology often gives a one-parameter deformation of de Rham cohomology.
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Lorentz Covariance VS Lorentz Invariance: What's the Difference? | Special Relativity
In special relativity, Lorentz covariance and Lorentz invariance are two very important concepts. But what exactly are these concepts? In this video, we will find out! Contents: 00:00 Definitions 00:51 Examples If you want to help us get rid of ads on YouTube, you can support us on Patr
From playlist Special Relativity, General Relativity
Algebraic proofs of degenerations of Hodge-de Rham complexes - Andrei Căldăraru
Reading group on Degeneration of Hodge-de Rham spectral sequences Topic: Algebraic proofs of degenerations of Hodge-de Rham complexes Speaker: Andrei Căldăraru Affiliation: University of Wisconsin, Madison Date: April 12, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
Voisin Claire "From Analysis situs to the theory of periods"
Résumé The talk will focus on the pairing between singular homology and de Rham cohomology: Combinatorics of cells of a triangulation on one side, differential forms on the other side. The two aspects of the subject were already present in Poincaré's work, but the fact that this pairing i
From playlist Colloque Scientifique International Poincaré 100
A Gentle Approach to Crystalline Cohomology - Jacob Lurie
Members’ Colloquium Topic: A Gentle Approach to Crystalline Cohomology Speaker: Jacob Lurie Affiliation: Professor, School of Mathematics Date: February 28, 2022 Let X be a smooth affine algebraic variety over the field C of complex numbers (that is, a smooth submanifold of C^n which can
From playlist Mathematics
Bertrand Eynard - An overview of the topological recursion
The "topological recursion" defines a double family of "invariants" $W_{g,n}$ associated to a "spectral curve" (which we shall define). The invariants $W_{g,n}$ are meromorphic $n$-forms defined by a universal recursion relation on $|\chi|=2g-2+n$, the initial terms $W_{0,1}$
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Lars Hesselholt: Around topological Hochschild homology (Lecture 8)
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "Workshop: Hermitian K-theory and trace methods" Introduced by Bökstedt in the late eighties, topological Hochschild homology is a manifestation of the dual visions of Connes and Waldhausen to
From playlist HIM Lectures: Junior Trimester Program "Topology"
Christophe Breuil - Espace de Drinfeld, complexe de de Rham...
Espace de Drinfeld, complexe de de Rham et représentations localement analytiques de GL3(Qp) Par un résultat de Dat, le complexe de de Rham de l'espace de Drinfeld (plus exactement ses sections globales) se scinde dans une catégorie dérivée convenable (i. e. est isomorphe à sa cohomologie
From playlist The Paris-London Number Theory Seminar, Oct. 2019
De Rham Cohomology: PART 1- THE IDEA
Credits: Animation: I animated the video myself, using 3Blue1Brown's amazing Python animation library "manim". Link to manim: https://github.com/3b1b/manim Link to 3Blue1Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw Beyond inspecting the source code myself, this channel
From playlist Cohomology
Xinwen Zhu - Principle B for de Rham representations
Let X be a smooth connected algebraic variety over a p-adic field k and let L be a Q_p étale local system on X. I will show that if the stalk of L at one point of X, regarded as a p-adic Galois representation, is de Rham, then the stalk of L at every point of X is de Rham. This is a joint
From playlist A conference in honor of Arthur Ogus on the occasion of his 70th birthday
Lagrangian Floer theory (Lecture – 02) by Sushmita Venugopalan
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Einstein Might Have Been Wrong About Gravity... Here’s Why
The universe is expanding, and fast. And this new theory could explain why. » Subscribe to Seeker! http://bit.ly/subscribeseeker » Watch more Elements! http://bit.ly/ElementsPlaylist » Visit our shop at http://shop.seeker.com The universe is expanding, and that expansion is speeding up.
From playlist Elements | Seeker
A p-adic monodromy theorem for de Rham local systems - Koji Shimizu
Joint IAS/Princeton University Number Theory Seminar Topic: A p-adic monodromy theorem for de Rham local systems Speaker: Koji Shimizu Affiliation: Member, School of Mathematics Date: February 27, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Lars Hesselholt: Around topological Hochschild homology (Lecture 2)
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "Workshop: Hermitian K-theory and trace methods" Introduced by Bökstedt in the late eighties, topological Hochschild homology is a manifestation of the dual visions of Connes and Waldhausen to
From playlist HIM Lectures: Junior Trimester Program "Topology"
Invariant measure of quantum trajectories: product (...) - C. Pellegrini - Workshop 1 - CEB T2 2018
Clément Pellegrini (Univ. Paul Sabatier, Toulouse) / 16.05.2018 Invariant measure of quantum trajectories: product of random matrices. Quantum trajectories are Markov processes with singular transition which prevent to use usual Markov Theorems in order to study their large time behaviou
From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments