Topology, Manifolds, and Algebraic Geometry (ICTMAG-27)

This track focuses on recent developments in the theory of topological spaces, including new results in general topology and its applications. Participants are encouraged to present innovative approaches to classical problems and explore connections with other mathematical fields.

This session will delve into the study of manifolds, emphasizing their geometric and topological properties. Contributions that illustrate the role of manifolds in various applications, including physics and engineering, are particularly welcome.

This track aims to showcase contemporary methods in algebraic geometry, including computational techniques and their implications for theoretical research. Researchers are invited to discuss novel results and methodologies that advance the field.

This session will explore the interplay between differential geometry and geometric analysis, highlighting recent findings and theoretical advancements. Papers that bridge these areas with applications in physics and other sciences are encouraged.

This track focuses on the latest developments in homology and homotopy theory, emphasizing their foundational aspects and applications. Researchers are invited to present new results that enhance our understanding of topological invariants.

This session will examine the rich structure of Riemann surfaces and their connections to complex geometry. Contributions that explore both classical and contemporary topics in this area are highly encouraged.

This track is dedicated to the study of low-dimensional topology, particularly in dimensions three and four. Participants are invited to share insights into knot theory, 3-manifolds, and related topics.

This session will explore the role of category theory as a unifying framework in mathematics. Papers that demonstrate its applications in topology, algebra, and geometry are particularly welcome.

This track will focus on the intersections between mathematical physics and geometry, discussing how geometric concepts inform physical theories. Researchers are invited to present work that bridges these two disciplines.

This session will highlight practical applications of topology and geometry in various fields, including data analysis, robotics, and materials science. Contributions that demonstrate the impact of mathematical theories on real-world problems are encouraged.

This track aims to present cutting-edge research in algebraic topology, focusing on both theoretical advancements and computational techniques. Participants are invited to share their findings and discuss future directions in the field.