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This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Białystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a wide variety of other areas. Specific topics include: Classical and quantum field theories Infinite-dimensional groups Integrable systems Lie groupoids and Lie algebroids Representation theory Geometric Methods in Physics XXXIX will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.

Mathematical physics. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Group theory. --- Geometry. --- Quantum physics. --- Mathematical Physics. --- Global Analysis and Analysis on Manifolds. --- Group Theory and Generalizations. --- Quantum Physics. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Physical mathematics --- Physics --- Mathematics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Euclid's Elements --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Geometry, Differential --- Topology --- Física matemàtica --- Geometria --- Global analysis (Mathematics) --- Manifolds (Mathematics) --- Quantum theory.

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Mathematical physics --- 530.1 --- #WWIS:ALTO --- Basic principles of physics --- Group theory. --- Quantum theory. --- Representations of groups. --- 530.1 Basic principles of physics --- Group theory --- Quantum theory --- Representations of groups --- Théorie des groupes --- Théorie quantique --- Représentations de groupes --- Théorie des groupes --- Théorie quantique --- Représentations de groupes --- Représentations de groupes. --- Représentations de groupes de Lie --- Application des groupes a la physique

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This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.

Sociology of education --- Educational psychology --- Teaching --- Didactics of mathematics --- pedagogische psychologie --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lesgeven --- Mathematics—Study and teaching . --- Educational psychology. --- Education—Psychology. --- Mathematics Education. --- Educational Psychology. --- Mathematics --- Study and teaching.