Explore a comprehensive conference talk on Homological Mirror Symmetry delivered by Daniel Pomerleanu from the University of Massachusetts. Delve into recent advancements and new results in this field, as presented at the University of Miami. Gain insights into the latest developments, potential new directions, and opportunities for collaboration in this area of mathematics. Honor the contributions of Jeffrey Fuqua, whose generous gift in 2007 significantly transformed the subject and led to major breakthroughs. Participate in this traditional conference that not only surveys recent findings but also celebrates the ongoing impact of Fuqua's support on mathematical research and progress in Homological Mirror Symmetry over the past 16 years.