International Conference on Geometry and Geometric Analysis

This track focuses on the fundamental principles of differential geometry, exploring the curvature and topology of smooth manifolds. Participants will discuss recent advancements in the theory and applications of Riemannian metrics.

This session will delve into the interplay between algebraic geometry and other mathematical fields, including number theory and combinatorics. Contributions will highlight innovative techniques and applications of algebraic varieties.

This track aims to investigate the structure and properties of metric spaces, emphasizing their role in various branches of mathematics. Researchers are encouraged to present novel results and methodologies related to distance functions and convergence.

This session will explore the rich connections between symplectic geometry and topology, focusing on Hamiltonian dynamics and geometric structures. Participants will share insights into the latest research and theoretical developments in this vibrant area.

This track will examine the intricate relationships between complex geometry and other mathematical disciplines, such as algebraic geometry and differential equations. Researchers will present findings on complex manifolds and their geometric properties.

This session will focus on the study of convex shapes and their geometric properties, with applications in optimization and computational geometry. Contributions will include both theoretical advancements and practical implications of convex analysis.

This track will investigate the application of variational methods to problems in geometric analysis, including minimal surfaces and geometric flows. Participants will discuss new techniques and results that enhance our understanding of geometric structures.

This session will explore the dynamics of geometric flows, such as the Ricci flow and mean curvature flow, and their implications in geometry and topology. Researchers will present recent developments and applications of these flows in various contexts.

This track will focus on the role of geometric structures in mathematical physics, including gauge theories and general relativity. Participants will discuss how geometry informs physical theories and the mathematical frameworks that underpin them.

This session will address the computational aspects of geometry, focusing on algorithms for geometric problems and their practical applications. Contributions will include advancements in computational techniques and their implications in various fields.

This track will explore the connections between topology and geometry, emphasizing how topological properties influence geometric structures. Researchers will present new insights into the interplay between these two fundamental areas of mathematics.