Tropical Mirror Symmetry via Topological Quantum Mechanics on Trees

Explore the intricate connections between tropical geometry and mirror symmetry through the lens of topological quantum mechanics in this hour-long conference talk. Delve into how tree structures serve as fundamental objects in understanding tropical mirror symmetry, examining the mathematical frameworks that bridge these seemingly disparate areas of mathematics and theoretical physics. Learn about the topological quantum mechanical approaches that provide new insights into mirror symmetry phenomena, with particular emphasis on how tropical methods can illuminate classical mirror symmetry problems. Discover the role of combinatorial and geometric structures in formulating quantum mechanical models on tree-like spaces, and understand how these models contribute to our broader understanding of string theory and algebraic geometry. Gain exposure to cutting-edge research methodologies that combine tropical geometry, quantum mechanics, and mirror symmetry to address fundamental questions in mathematical physics.