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
Unlinked fixed points of Hamiltonian...spectral invariants - Sobhan Seyfaddini
Sobhan Seyfaddini Massachusetts Institute of Technology April 17, 2015 Hamiltonian spectral invariants have had many interesting and important applications in symplectic geometry. Inspired by Le Calvez's theory of transverse foliations for dynamical systems of surfaces, we introduce a new
From playlist Mathematics
Ana Romero: Effective computation of spectral systems and relation with multi-parameter persistence
Title: Effective computation of spectral systems and their relation with multi-parameter persistence Abstract: Spectral systems are a useful tool in Computational Algebraic Topology that provide topological information on spaces with generalized filtrations over a poset and generalize the
From playlist AATRN 2022
Spectral Sequences 02: Spectral Sequence of a Filtered Complex
I like Ivan Mirovic's Course notes. http://people.math.umass.edu/~mirkovic/A.COURSE.notes/3.HomologicalAlgebra/HA/2.Spring06/C.pdf Also, Ravi Vakil's Foundations of Algebraic Geometry and the Stacks Project do this well as well.
From playlist Spectral Sequences
Elba Garcia-Failde - Quantisation of Spectral Curves of Arbitrary Rank and Genus via (...)
The topological recursion is a ubiquitous procedure that associates to some initial data called spectral curve, consisting of a Riemann surface and some extra data, a doubly indexed family of differentials on the curve, which often encode some enumerative geometric information, such as vol
From playlist Workshop on Quantum Geometry
C^0 Limits of Hamiltonian Paths and Spectral Invariants - Sobhan Seyfaddini
Sobhan Seyfaddini University of California at Berkeley October 28, 2011 After reviewing spectral invariants, I will write down an estimate, which under certain assumptions, relates the spectral invariants of a Hamiltonian to the C0-distance of its flow from the identity. I will also show t
From playlist Mathematics
Floer homology of Hamiltonians supported on subsets - Shira Tanny
Seminar in Analysis and Geometry Topic: Floer homology of Hamiltonians supported on subsets Speaker: Shira Tanny Affiliation: Member, School of Mathematics Date: December 14, 2021 Floer homology is a fundamental construction relating dynamical properties of Hamiltonian flows on symplecti
From playlist Mathematics
Bertrand Eynard: Integrable systems and spectral curves
Usually one defines a Tau function Tau(t_1,t_2,...) as a function of a family of times having to obey some equations, like Miwa-Jimbo equations, or Hirota equations. Here we shall view times as local coordinates in the moduli-space of spectral curves, and define the Tau-function of a spect
From playlist Analysis and its Applications
Amos Nevo: Representation theory, effective ergodic theorems, and applications - Lecture 1
Find this video and 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, b
From playlist Dynamical Systems and Ordinary Differential Equations
Barcodes and C0 symplectic topology - Sobhan Seyfaddini
Symplectic Dynamics/Geometry Seminar Topic: Barcodes and C0 symplectic topology Speaker: Sobhan Seyfaddini Affiliation: ENS Paris Date: December 17, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
The Spectral Diameter of a Liouville Domains and its Applications - Pierre-Alexandre Mailhot
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: The Spectral Diameter of a Liouville Domains and its Applications Speaker: Pierre-Alexandre Mailhot Affiliation: Université de Montréal Date: October 28, 2022 The spectral norm provides a lower bound to the
From playlist Mathematics
Super-Approximation and Its Applications - Alireza Salehi Golsefidy
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Tasho Kaletha - 2/2 A Brief Introduction to the Trace Formula and its Stabilization
We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom
From playlist 2022 Summer School on the Langlands program
The Quasimorphism Question - Daniel Anthony Cristofaro-Gardiner
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: The Quasimorphism Question Speaker: Daniel Anthony Cristofaro-Gardiner Affiliation: University of Maryland Date: March 14, 2022 I will discuss a recent work constructing quasimorphisms on the group of area and orientation
From playlist Mathematics
Bertrand Eynard - The topological recursion method
The topological recursion (TR) is a recursive algorithm, which associates to a plane complex curve (here called a “spectral curve”) S, an infinite family of symmetric meromorphic differential n-forms Wg,n(S), called the “invariants” of the curve S. For example on a plane curve given by its
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
The Simplicity Conjecture - Dan Cristofaro-Gardiner
Symplectic Seminar Topic: The Simplicity Conjecture Speaker: Dan Cristofaro-Gardiner Affiliation: Member, School of Mathematics Date: April 3, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics