International Conference on Geometric Analysis and Topological Methods

This track focuses on the interplay between geometric analysis and differential geometry, exploring the properties of manifolds through differential equations. Contributions may include studies on curvature, geodesics, and the topology of differentiable structures.

This session invites papers that investigate the application of topological methods to problems in mathematical physics. Topics may include topological quantum field theories, gauge theories, and the role of topology in understanding physical phenomena.

This track emphasizes the role of functional analysis in various mathematical contexts, including its applications in differential equations and quantum mechanics. Submissions may address operator theory, Banach and Hilbert spaces, and spectral theory.

This session aims to explore the rich field of complex geometry, focusing on complex manifolds and their geometric structures. Papers may discuss topics such as K?hler metrics, complex algebraic varieties, and their applications in theoretical physics.

This track is dedicated to the study of topology and its relationship with manifold theory, emphasizing both classical and modern approaches. Contributions may include homotopy theory, homology, and the classification of manifolds.

This session will cover global analysis techniques applied to manifolds, focusing on the behavior of differential operators and the geometry of solutions. Topics may include elliptic and parabolic equations, index theory, and geometric flows.

This track seeks to explore the role of partial differential equations in geometric analysis, particularly in the context of geometric flows and curvature equations. Submissions may include existence, uniqueness, and regularity results.

This session focuses on nonlinear analysis techniques and their applications to geometric structures, including variational methods and critical point theory. Contributions may address the existence of solutions to nonlinear equations in geometric contexts.

This track invites papers that utilize variational methods to address problems in geometric analysis. Topics may include minimization problems, geometric measure theory, and applications to the calculus of variations.

This session will explore the foundations and applications of symplectic geometry, particularly in relation to dynamical systems. Contributions may include studies on Hamiltonian systems, symplectic manifolds, and their geometric properties.

This track focuses on geometric modeling techniques and their applications across various fields, including computer graphics and engineering. Papers may discuss algorithms for geometric representation, surface modeling, and applications in real-world problems.