A More Comprehensible Proof of the Reductive Shafarevich Conjecture

Explore a two-part lecture series on the Reductive Shafarevich Conjecture, delivered by Ya Deng from Université de Lorraine. Delve into one of the most beautiful mathematical problems in complex geometry, connecting various subjects, particularly non-abelian Hodge theories. Examine the recent work on new constructions of Shafarevich morphisms and gain insights into a more comprehensible proof of the reductive Shafarevich conjecture. Learn about the conjecture's history, including its first proof for surfaces with reductive linear fundamental groups by Katzarkov-Ramachandran in 1998 and Eyssidieux's 2004 proof for projective varieties. Understand how this work contributed to the later proof of the linear case by Eyssidieux-Katzarkov-Pantev-Ramachandran. Discover the joint work of Ya Deng and Katsutoshi Yamanoi in this 58-minute IMSA Seminar, presented at the University of Miami.