Session Tracks

This track focuses on the fundamental principles and theories of differential geometry, exploring the curvature, connections, and metrics on manifolds. Participants will present novel approaches and insights into the geometric structures that underpin this field.

This session aims to discuss the latest advancements in topology, emphasizing both theoretical developments and practical applications. Contributions may include studies on topological spaces, homotopy theory, and their implications in various scientific domains.

This track delves into the intricate geometric structures arising in Riemannian geometry, including discussions on geodesics, curvature, and the topology of Riemannian manifolds. Researchers are encouraged to present innovative findings that bridge Riemannian geometry with other mathematical disciplines.

Focusing on the interplay between geometric analysis and partial differential equations, this session will explore how geometric methods can be applied to solve complex PDEs. Contributions may include studies on heat equations, minimal surfaces, and geometric flows.

This track invites discussions on recent developments in algebraic topology, including homology, cohomology, and spectral sequences. Participants are encouraged to share innovative techniques and applications that enhance our understanding of topological spaces.

This session will cover global analysis techniques applied to various types of manifolds, addressing topics such as index theory and elliptic operators. Researchers are invited to present their findings on the global properties and behaviors of differential operators.

Exploring the rich field of complex geometry, this track will focus on complex manifolds, K?hler metrics, and their applications in mathematical physics. Contributions may highlight the interplay between complex structures and other geometric frameworks.

This session will focus on the unique characteristics and challenges of low-dimensional topology, particularly in dimensions three and four. Researchers are encouraged to present new results related to knot theory, 3-manifolds, and their topological invariants.

This track will explore the connections between symplectic geometry and dynamical systems, emphasizing the role of symplectic structures in understanding dynamical behavior. Participants are invited to discuss recent findings and methodologies in this vibrant area of research.

This session aims to bridge the gap between mathematics and physics by exploring geometric concepts that underpin various physical theories. Contributions may include discussions on gauge theory, string theory, and the geometric formulation of physical laws.

This track will highlight cutting-edge research and emerging trends in differential geometry, providing a platform for scholars to share their latest findings. Participants are encouraged to present innovative ideas that challenge existing paradigms and propose new directions for future research.