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Explore the intriguing world of unexpected thermal transport behaviors in a comprehensive lecture on the phenomenology of thermal Hall effects. Delve into puzzling observations across various materials, including SrTiO3, La2CuO4, and alpha-RuCl3. Examine the unexpectedly large thermal Hall effects in these important compounds and investigate the strange oscillatory signature of longitudinal thermal conductivity in alpha-RuCl3 under applied magnetic fields. Uncover the common theme of unusual interplay between phonons and dynamical or extended defects. Gain insights into the phenomenological studies conducted to understand these puzzles and learn about the importance of direct experimental detection of these defects in advancing our understanding of condensed matter physics.