دانلود کتاب هندسه، نظریه دروغ و کاربردها

The ideas of symmetry and invariance, forming Lie theory, are central in many applications, in particular in differential geometry and mathematical physics. The Abel Symposium 2019 brought together leading experts from all around the world. They presented the state-of-the-art, new trends, and advances in their areas of research. Among them we mention:
• The equivalence problems of geometric structures
• Classification of invariant differential operators and structures with abundant symmetries in parabolic geometries
• Description of low-dimensional orbits of the action of Lie groups in tensor spaces and their projectivizations
• Finite generation of classical and differential invariants of infinite dimensional transformation groups
• Invariance methods in the integration of equations of mathematical physics
• Classification problems in general relativity
• Application of representation theory to the construction of compatibility complexes of overdetermined systems
• Prolongation of graded nilpotent Lie algebras with application to optimal control theory
• Integrability techniques in classical mechanics
The Abel Symposium took place on 24–28 June 2019 in Ålesund, which is often called the Norwegian Venice. The main organisers were:
• José Figueroa-O’Farrill, University of Edinburgh
• Sigbjørn Hervik, University of Stavanger
• Boris Kruglikov, UiT – The Arctic University of Norway
• Irina Markina, University of Bergen
• Jan Slovák, Masaryk University
• Dennis The, UiT – The Arctic University of Norway
• Bent Ørsted, Aarhus University