Explore the intricacies of the Isomonodromy-CFT correspondence on a torus and delve into the modular transformation of c=1 toric conformal blocks in this comprehensive lecture by Pavlo Gavrylenko. Over the course of 1 hour and 11 minutes, gain insights into advanced concepts in mathematical physics as presented at the Galileo Galilei Institute. Examine the relationship between isomonodromic deformations and conformal field theory on a torus, and investigate the properties of modular transformations in the context of c=1 toric conformal blocks. Enhance your understanding of these complex topics through the expert analysis and explanations provided by the speaker.