SMRI Mini Course: Guenancia -- ’On the invariance of plurigenera’

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/