International Conference on Topology, Geometry, and Mathematical Structures (ICTGMS-27)

This track focuses on the fundamental concepts and principles of topology, including open and closed sets, continuity, and compactness. It aims to explore the various types of topological spaces and their properties.

This session will delve into the study of curves and surfaces through the lens of differential geometry, emphasizing its applications in physics and engineering. Participants are encouraged to present innovative approaches and results related to curvature, geodesics, and manifolds.

This track will cover the essential tools and theories of algebraic topology, including homology and homotopy theory. Researchers are invited to discuss their findings on the interplay between algebraic structures and topological spaces.

Focusing on the intersection of geometry and analysis, this session will explore topics such as geometric flows and the study of partial differential equations on manifolds. Contributions that highlight the implications of geometric analysis in various fields are welcome.

This track aims to present recent advancements in knot theory, including invariants and classification of knots. Participants are encouraged to share applications of knot theory in biology, chemistry, and physics.

This session will explore the rich structure of Riemannian geometry, focusing on concepts such as curvature, geodesics, and metric spaces. Contributions that bridge Riemannian geometry with other mathematical disciplines are particularly encouraged.

This track will examine the unique geometric structures that arise in low-dimensional topology, including 3-manifolds and their properties. Researchers are invited to discuss the implications of these structures in both theoretical and applied contexts.

This session will focus on global analysis techniques applied to manifolds, including spectral theory and index theory. Contributions that highlight the relationship between global properties and local behavior are encouraged.

This track will delve into the principles of symplectic geometry and its applications in classical and quantum mechanics. Participants are invited to present their research on symplectic manifolds and related structures.

This session will explore the mathematical foundations and applications of graph theory, focusing on network structures and their properties. Researchers are encouraged to discuss innovative approaches to solving problems in combinatorial optimization and network analysis.

This track will investigate the role of geometric methods in mathematical physics, including topics such as gauge theory and general relativity. Contributions that highlight the synergy between mathematics and physical theories are particularly welcome.