The Calabi Problem from a Birational Geometer's Viewpoint - Part 2

Explore the second part of a two-day Frontiers Seminar lecture series delivered by renowned algebraic geometer Carolina Araujo at the University of Miami. Delve into "The Calabi problem - from a birational geometer's viewpoint II," a 53-minute talk that continues the exploration of the Calabi problem in complex geometry. Gain insights into the challenges of determining which compact complex manifolds admit Kähler-Einstein metrics, with a focus on Fano manifolds and their positive curvature properties. Learn about the Yau-Tian-Donaldson conjecture and its resolution, connecting Kähler-Einstein metrics to K-polystability. Discover how recent advancements in birational geometry have contributed to understanding K-polystability and opened new research directions. Benefit from the expertise of Carolina Araujo, a distinguished researcher from the Instituto Nacional de Matemática Pura e Aplicada in Brazil, known for her contributions to algebraic geometry and recipient of prestigious awards including the L'Oreal Award for Women in Science and the Ramanujan Prize.

Carolina Araujo, Instituto Nacional de Matematica Pura e Aplicada, Rio de Janeiro, Brazil Pt 2