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**Contents:**

With an eye towards the use and need for higher structures, this workshop will bring together experts in algebraic geometry, symplectic geometry, and theoretical physics to focus on common areas interacting with HMS. Potential topics are Bershadsky--Cecotti--Ooguri--Vafa theory, shifted symplectic structures, higher Donaldson-Thomas invariants, and symplectic duality, in relation to HMS. Workshop on BPS states. Recent progress in the study of BPS states in string theory and in supersymmetric field theories, as well as on the theory of topological recursion, gives hints towards profound connections with the exact WKB method from the mathematical study of differential equations with a large parameter, and the abelianisation of flat connections on Riemann surfaces.

The goals of our workshop are to bring together some leading experts in the field to stimulate the interactions between these lines of research, and to introduce young researchers and PhD students to attractive topics of current research with a rich potential for further developments.

Supergeometry, supersymmetry and quantization.

The conference will bring researchers across both the fields of mathematics and physics together in order to discuss recently developed topics, on-going work and speculative new ideas within supergeometry and its applications in physics. This event offers a unique opportunity to unite physicists and mathematicians who share a common interest in supermathematics. There will be enough time available for discussions between the participants and there will be a poster session.

Supermanifolds and their generalizations e. Algebraic geometry in Auckland. Winter Graduate School in Toric Topology. Two intensive mini-courses will be given over one week by experts on polyhedral products and toric topology. These are designed to give graduate students and early career researchers in nearby fields a better understanding of each subject by presenting multiple viewpoints from different lecturers, thus enabling the participants to better engage in the subsequent workshops and seminars.

follow site Geometry from the Quantum. A complete understanding of quantum gravity, as it pertains to our universe, remains one of the biggest challenges in theoretical physics. As our observational constraints on the early universe and black hole physics improve, this theoretical challenge has become even more urgent. This conference aims to explore the latest developments in quantum gravity and string theory, ranging from ideas motivated from holographic dualities to new results developing the landscape of string theory vacua.

This event intends to bring together international researchers from various backgrounds and interests, all of which related to geometric aspects of complex webs. The targeted audience includes, but is not restricted to, mathematicians theoretical and applied , life scientists, computer scientists, and engineers.

A special effort will be made to allocate time for social interactions and networking. Applied Mathematics in general. This three-day workshop is intended to bring together young and more experienced researchers working in the fields of symplectic geometry, contact geometry, and Floer theory. Mathematical Physics. The upcoming conference will be at UC Irvine. All interested participants are strongly encouraged to register via the online registration form and indicate request for financial support if needed.

Financial support if available will be from the US National Science Foundation and priority will be given to graduate students, recent Ph. East Asian Conference on Geometric Topology. ICCG is an annual, international conference whose goal is to bring together students and researchers from academia and industry, in order to promote research in the fields of combinatorial and computational geometry. Important dates: Submission deadline: November 8, Acceptance notification: December 22, Conference: February 16, Workshop โ Low-dimensional Topology. French Computational Geometry Days.

Numerical Analysis and Computational Mathematics.

This Spring School will gather together PhD students and junior researchers who use category-theoretic ideas or techniques in their research. It will provide a forum to learn about important themes in contemporary category theory, both from experts and from each other. Three invited speakers will each present a three-hour mini-course, accessible to non-specialists, introducing an area of active research.

There will also be short talks contributed by PhD students and postdocs, and a poster session. The focus of the Spring School is on aspects of pure category theory as they interact with research in other areas of algebra, geometry, topology and logic.

Any "categorical thinker" - that is, any mathematician whose work makes use of categorical ideas - is welcome to participate. AIM Workshop: Mathematics of topological insulators.

Examples of foliations with projective transversal structure (Paulo Seade)

This workshop, sponsored by AIM, the Simons Foundation, and the NSF, will consider the role of topology in characterizing materials and in the prediction of their physical properties, particularly for two-dimensional material such as graphene. The focus will be on important mathematical questions at the interface of the analysis and topology in the context of the governing fundamental partial differential equations and other models. Two such questions are the bulk edge correspondence and the existence and robustness of edge states in aperiodic settings.

Shokurov's 70th Birthday. Spring Topology and Dynamical Systems Conferences are a long-running series of annual conferences focusing on several actively researched areas in topology and dynamical systems. Systems theory, Control and Automation. Workshop on Torus Actions in Topology.

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The workshop will introduce and explore new themes of research in toric topology. It will provide an opportunity for interaction between people who work on different aspects of torus actions, such as topological, combinatorial, symplectic and algebro-geometric. Knots are fundamental objects of study in low dimensional topology and geometry, and the subject has seen tremendous progress in the recent years. The aim of this program is to familiarise and enthuse younger researchers in India about the latest advances in the subject with a particular emphasis on computational aspects of co homological, combinatorial and polynomial invariants of knots.

The program will also discuss some important aspects of knot theory from physics point of view. The program will have two components, an advanced workshop 23 - 28 March followed by a discussion meeting 30 March - 03 April The advanced workshop will consist of mini courses on current aspects of knot theory by renowned experts.

These topics will cover some of the latest advances in the subject, and will also prepare the participants for the discussion meeting which will consist of talks by well-known researchers in the field. Knots, quandles, Khovanov Homology, Jones Polynomial. Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights. Number Theory, Arithmetic. From its onset, our theory is a cross-over between algebraic geometry and differential geometry.

While we deal with problems in algebraic geometry, the heart of our perspective is differential-geometric in nature, revolving around foliations, G-structures, differential systems, etc. The current article is written with the aim of highlighting certain aspects in the geometric theory of VMRTs revolving around the theme of analytic continuation of geometric structures and substructures. For the parts of the article where adequate exposition already exists, we recall fundamental elements and results in the theory essential for the understanding of more recent development and provide occasional examples for illustration.

The presentation will be more systematic on sub-VMRT structures since the latter topic is relatively new. Foliations have been recently a crucial tool in the study of the degeneracy of entire curves on projective varieties of general type. In this note, considering the Green-Griffiths locus, we explain how to deal with the case where there is no natural foliation to start with. As an application, we show that for most quotients of classical bounded symmetric domains, the Green-Griffiths locus is the whole variety. Let X be a projective manifold equipped with a codimension 1 maybe singular distribution whose conormal sheaf is assumed to be pseudoeffective.

As usual, [ 8 ], the properties of K imply that.

Similar reasons as for transversal Finsler foliations see Theorem 3. Hence, we can consider the following. Later on, these structures have been generically called f -structures. On the tangent manifold of a Finsler space, the notion of framed f 3,1 -structure was defined and studied by Anastasiei in [ 10 ] and on the cotangent bundle of a Cartan space the study is continued in [ 11 , 12 ].

For an account of such kind of structures, we refer to [ 13 ].

- Foliations and Geometric Structures (Mathematics and Its Applications).
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- APPENDIX C. Bibliography on Foliations.

We also have. The first is transversally horizontal and the second one is transversally vertical. Using a similar argument as in [ 6 , 10 โ 12 ] by direct calculus, we obtain the following. By using Theorems 8 and 9 , we obtain. By direct calculations, one gets the following. The proof follows using an argument similar to Theorem 3. We indicate this by overlines. Hence, we have. By Theorem 8 , we obtain the following. Also, by Theorem 9 we obtain the following. Both authors contributed equally to the paper.

All the authors read and approved the final paper. National Center for Biotechnology Information , U. Journal List ScientificWorldJournal v. Published online Mar 5. Author information Article notes Copyright and License information Disclaimer. Ida and A. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract We consider the lift of a foliation to its conormal bundle and some transverse geometrical structures associated with this foliation are studied. Introduction and Preliminaries The study of the lift of transversal Finsler foliations to their normal bundle using the technique of good vertical connection was initiated by Miernowski and Mozgawa [ 1 ] where it is proved that the lifted foliation is a Riemannian one. Definition 1. Lemma 2. Lemma 3.

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Definition 4.