SMRI Mini Course: ’On the invariance of plurigenera’ Henri Guenancia (Paul Sabatier University) Quad S223 & Online via Zoom Special time of Friday 26th August, 2:00-4:00pm (AEST) Register/Join here: https://uni-sydney.zoom.us/j/84092755362 Abstract: In this mini-course, I will talk about a celebrated theorem of Yum-Tong Siu asserting that given a smooth projective family f:X->Y of complex manifolds over an irreducible base and given any positive integer m, the dimension of the space of pluricanonical forms H^0(X_y, mK_{X_y}) is independent of Y. After recasting the result in its historical context, I will mention the Ohsawa-Takegoshi extension theorem which plays a central role of the proof. Finally, I will sketch the main steps following Mihai Paun’s streamlined proof of the theorem. Note This seminar will be recorded, including participant questions (participants only when asking questions), and uploaded to the SMRI YouTube Channel https://www.youtube.com/c/SydneyMathematicalResearchInstituteSMRI Upcoming SMRI events can be found here: https://mathematical-research-institute.sydney.edu.au/news-events/