In mathematics, a Lefschetz manifold is a particular kind of symplectic manifold , sharing a certain cohomological property with Kähler manifolds, that of satisfying the conclusion of the Hard Lefschetz theorem. More precisely, the strong Lefschetz property asks that for , the cup product be an isomorphism. The topology of these symplectic manifolds is severely constrained, for example their odd Betti numbers are even. This remark leads to numerous examples of symplectic manifolds which are not Kähler, the first historical example is due to William Thurston. (Wikipedia).
A frontal view on Lefschetz fibrations I - Emmy Murphy
Augmentations and Legendrians at the IAS Topic: A frontal view on Lefschetz fibrations I Speaker: Emmy Murphy Date: Friday, February 12 In this series of two talks we will discuss Weinstein structures endowed with a Lefschetz fibration in terms of the Legendrian front projection. The main
From playlist Mathematics
Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 4)
Non singular holomorphic foliations on Stein manifolds (Part 4)
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Lefschetz pencils and crossed homomorphisms - Bruno Kahn
Bruno Kahn March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 1)
Non singular holomorphic foliations on Stein manifolds (Part 1)
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 2)
Non singular holomorphic foliations on Stein manifolds (Part 2)
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Lefschetz Without Positivity: An Overview - Karim Alexander Adiprasito
Members' Colloquium Topic: Lefschetz Without Positivity: An Overview Speaker: Karim Alexander Adiprasito Affiliation: Hebrew University of Jerusalem, Member, School of Mathematics Date: February 6, 2023 2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below The Lefschetz propert
From playlist Mathematics
Algebraic Structures Associated to Weinstein Manifolds - Eliashberg
Yasha Eliashberg Stanford University September 28, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Karim Alexander Adiprasito - 5/6 - Lefschetz, Hodge and combinatorics...
Lefschetz, Hodge and combinatorics: an account of a fruitful cross-pollination Almost 40 years ago, Stanley noticed that some of the deep theorems of algebraic geometry have powerful combinatorial applications. Among other things, he used the hard Lefschetz theorem to rederive Dynkin's t
Mark Hughes: Branched Coverings Over Surface Braids and (Broken) Lefschetz Fibrations
Mark Hughes, Brigham Young University Title: Branched Coverings Over Surface Braids and (Broken) Lefschetz Fibrations on Non- compact 4-Manifold In this talk I will discuss a construction of Lefschetz type fibrations on 4–manifolds via coverings branched over braided surfaces. When applied
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
A frontal view on Lefschetz fibrations II - Rodger Casals
Augmentations and Legendrians at the IAS Topic: A frontal view on Lefschetz fibrations II Speaker: Roger Casals Date: Friday, February 12 In this series of two talks we will discuss Weinstein structures endowed with a Lefschetz fibration in terms of the Legendrian front projection. The ma
From playlist Mathematics
Karim Alexander Adiprasito - 2/6 - Lefschetz, Hodge and combinatorics...
Lefschetz, Hodge and combinatorics: an account of a fruitful cross-pollination Almost 40 years ago, Stanley noticed that some of the deep theorems of algebraic geometry have powerful combinatorial applications. Among other things, he used the hard Lefschetz theorem to rederive Dynkin's t
What is a Manifold? Lesson 6: Topological Manifolds
Topological manifolds! Finally! I had two false starts with this lesson, but now it is fine, I think.
From playlist What is a Manifold?
Karim Alexander Adiprasito - 1/6 - Lefschetz, Hodge and combinatorics...
Lefschetz, Hodge and combinatorics: an account of a fruitful cross-pollination Almost 40 years ago, Stanley noticed that some of the deep theorems of algebraic geometry have powerful combinatorial applications. Among other things, he used the hard Lefschetz theorem to rederive Dynkin's t
Subflexible symplectic manifolds - Kyler Siegel
Princeton/IAS Symplectic Geometry Seminar Topic: Subflexible symplectic manifolds Speaker: Kyler Siegel Date: Thursday, March 3 After recalling some recent developments in symplectic flexibility, I will introduce a class of open symplectic manifolds, called "subflexible", which are not fl
From playlist Mathematics
Lefschetz Fixed Point Theorem example
Here we give an example of how to use the Lefschetz fixed point theorem. These notes were really useful as a graduate student, some of them are down now, but I think these notes I had came from here: http://mathsci.kaist.ac.kr/~jinhyun/useful.html
From playlist Riemann Hypothesis
Axioms for the Lefschetz number as a lattice valuation
"Axioms for the Lefschetz number as a lattice valuation" a research talk I gave at the conference on Nielsen Theory and Related Topics in Daejeon Korea, June 28, 2013. Chris Staecker's internet webarea: http://faculty.fairfield.edu/cstaecker/ Nielsen conference webarea: http://open.nims.r
From playlist Research & conference talks
Weil conjectures 5: Lefschetz trace formula
This talk explains the relation between the Lefschetz fixed point formula and the Weil conjectures. More precisely, the zeta function of a variety of a finite field can be written in terms of an action of the Frobenius group on the cohomology groups of the variety. The main problem is then
From playlist Algebraic geometry: extra topics
Manifolds 1.3 : More Examples (Animation Included)
In this video, I introduce the manifolds of product manifolds, tori/the torus, real vectorspaces, matrices, and linear map spaces. This video uses a math animation for visualization. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5koj5
From playlist Manifolds
Holomorphic Floer theory and the Fueter equation - Aleksander Doan
Joint IAS/Princeton University Symplectic Geometry Seminar Holomorphic Floer theory and the Fueter equation Aleksander Doan Columbia University Date: April 25, 2022 I will discuss an idea of constructing a category associated with a pair of holomorphic Lagrangians in a hyperkahler manif
From playlist Mathematics