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This is a survey paper on the space of symplectic structures on closed 4-manifolds, for the Proceedings ICCM 2004

Symplectic Geometry · Mathematics 2008-06-05 Tian-Jun Li

This text arises from teaching advanced undergraduate courses in differential topology for the master curriculum in Mathematics at the University of Pisa. So it is mainly addressed to motivated and collaborative master undergraduate…

Geometric Topology · Mathematics 2019-07-25 Riccardo Benedetti

Table of contents: Editorial 1 Correspondents 3 Some recent work in general relativistic Astrophysics 4 Two dimensional black holes 6 Resonant-mass gravitational wave detectors: an update 8 Universality and scaling in gravitational collapse…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jorge Pullin

Table of contents Editorial. Gravity News: Report on the APS topical group in gravitation, Beverly Berger. Research briefs: Gravitational microlensing and the search for dark matter, Bohdan Paczynski. Laboratory gravity: the G mystery,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jorge Pullin

Conferences are deeply connected to research fields, in this case bibliometrics. As such, they are a venue to present and discuss current and innovative research, and play an important role for the scholarly community. In this article, we…

Digital Libraries · Computer Science 2021-12-07 Grischa Fraumann , Rogerio Mugnaini , Elias Sanz-Casado

We outline a new tool that can promote coherence within and across higher education mathematics courses by focusing on problem-solving: the Mathematical Problem-Solving Pipeline or MPSP. The MPSP can be used for teaching mathematics and…

History and Overview · Mathematics 2024-12-04 Rochelle E. Tractenberg , Andrew C. Lee , Rachelle DeCoste

CONTENTS: New reals: Can live with them, can live without them; Uniform almost everywhere domination; Heredity of tau-pseudocompactness; Understanding preservation theorems: omega^omega-bounding; Classification problems in continuum theory;…

General Topology · Mathematics 2008-12-31 Boaz Tsaban

The first three sections of this survey represent an updated and much expanded version of the abstract of my talk at FPSAC'2010: new results are incorporated and several concrete conjectures on the interactions between the three…

Combinatorics · Mathematics 2022-06-20 Joseph Gubeladze

This set of five lectures provides an introduction to regularity structures and their use for the study of singular stochastic partial differential equations. Two appendices provide some additional informations that enter in the main text…

Probability · Mathematics 2025-12-17 I. Bailleul

This thesis opens with an introductory discussion, where the reader is gently led to the world of topological combinatorics, and, where the results of this Habilitationsschrift are portrayed against the backdrop of the broader philosophy of…

Algebraic Topology · Mathematics 2007-05-23 Dmitry N. Kozlov

CONTENTS: On Selective screenability and examples of R. Pol. Workshops and conferences: The Oxford Conference on Topology and Computer Science in Honour of Peter Collins and Mike Reed; Boise Extravaganza In Set Theory (BEST2006). Research…

General Topology · Mathematics 2008-12-31 Boaz Tsaban

In this paper we introduce the bosonic generators of the $sp(4,R)$ algebra and study some of their properties, based on the $SU(1,1)$ and $SU(2)$ group theory. With the developed theory of the $Sp(4,R)$ group, we solve the interaction part…

Mathematical Physics · Physics 2019-12-10 E. Choreño , D. Ojeda-Guillén

Contents of Part 1: 1. Status of the Standard Model(P.H. Frampton), 2. Cosmological Constraints from MBA and Polarization (A. Melchiorri), 3. AdS/CFT Correspondence and Unification at About 4 TeV (P.H. Frampton), 4. New Solutions in String…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. H. Frampton , A. Melchiorri , L. Bonora , A. Borstnik Bracic , N. Mankoc Borstnik , H. B. Nielsen , C. D. Froggatt , Q. Shafi , E. Alvarez , F. Lizzi

MEMICS provides a forum for doctoral students interested in applications of mathematical and engineering methods in computer science. Besides a rich technical programme (including invited talks, regular papers, and presentations), MEMICS…

Logic in Computer Science · Computer Science 2016-12-14 Jan Bouda , Lukáš Holík , Jan Kofroň , Jan Strejček , Adam Rambousek

This text is a set of lecture notes for a series of four talks given at I.P.A.M., Los Angeles, on March 18-20, 2003. The first lecture provides a quick overview of symplectic topology and its main tools: symplectic manifolds, almost-complex…

Symplectic Geometry · Mathematics 2007-05-23 Denis Auroux

These are lecture notes on scale calculus and M-polyfolds written for a graduate course at UNICAMP March-June 2018 and an advanced mini-course given during the biannual meeting of Brazilian mathematicians, CBM-32, at IMPA in August 2019.

Symplectic Geometry · Mathematics 2019-08-14 Joa Weber

GGR News: We hear that... by Jorge Pullin * Research Briefs: Too many coincidences?, by Laura Mersini The Quest for a Realistic Cosmology in String Theory, by Andrew Chamblin SFB/TR 7, by A. Gopakumar and D. Petroff The mock LISA data…

General Relativity and Quantum Cosmology · Physics 2009-03-10 Jorge Pullin

A number of scientific competitions have been organised in the last few years with the objective of discovering innovative techniques to perform typical High Energy Physics tasks, like event reconstruction, classification and new physics…

Data Analysis, Statistics and Probability · Physics 2020-12-21 David Rousseau , Andrey Ustyuzhanin

These are notes to accompany my lectures at the $2024$ "Current Developments in Mathematics" conference hosted by Harvard/MIT. The lectures were about some recent progress in our understanding of two and three dimensional dynamical systems,…

Symplectic Geometry · Mathematics 2025-10-10 Dan Cristofaro-Gardiner

We present a list of problems in arithmetic topology posed at the June 2019 PIMS/NSF workshop on "Arithmetic Topology". Three problem sessions were hosted during the workshop in which participants proposed open questions to the audience and…

Algebraic Topology · Mathematics 2021-01-01 Claudio Gómez-Gonzáles , Jesse Wolfson