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International Conference on Noncommutative Geometry and Algebra

📅 13–14 Jan 2027 📍 Ipiales, Colombia 👤 Standard / Listener

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Conference session tracks

Key research areas covered across the sessions — tap a track to read more.

This track will explore the fundamental principles and theoretical underpinnings of noncommutative geometry. Participants are encouraged to present novel approaches and insights that advance the understanding of this emerging field.

This session focuses on the study of operator algebras, including C*-algebras and von Neumann algebras, and their applications in various mathematical contexts. Contributions that bridge theory and practical applications are particularly welcome.

This track invites discussions on quantum groups, their algebraic structures, and representation theory. Researchers are encouraged to share their findings on the interplay between quantum groups and other areas of mathematics.

This session will delve into functional analysis within the framework of noncommutative geometry. Topics may include spectral theory, operator theory, and the role of functional analysis in understanding noncommutative structures.

This track examines the connections between differential geometry and noncommutative geometry. Presentations may focus on geometric interpretations of noncommutative phenomena and their implications.

This session will focus on spectral triples as a tool in noncommutative geometry, discussing their mathematical properties and applications. Researchers are invited to present innovative uses of spectral triples in various contexts.

This track addresses the challenges and advancements in the field of noncommutative topology. Contributions that propose new concepts or explore existing theories are highly encouraged.

This session will explore the applications of homological algebra in noncommutative settings. Researchers are invited to discuss new findings and methodologies that enhance the understanding of algebraic structures.

This track focuses on the intersection of noncommutative geometry and probability theory. Presentations may include theoretical developments as well as applications in quantum physics and statistical mechanics.

This session will investigate various algebraic structures that arise in noncommutative geometry. Contributions that highlight the relationships between these structures and other mathematical disciplines are encouraged.

This track will explore the applications of noncommutative geometry in quantum physics. Researchers are invited to present studies that illustrate the relevance of noncommutative concepts in physical theories.