# Mathematical Sciences Research Institute

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# Schedule, Notes/Handouts & Videos

## Kähler Geometry, Einstein Metrics, and Generalizations March 21, 2016 - March 25, 2016

Mar 21, 2016
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Holomorphic fibrations on Calabi-Yau manifolds and collapsing Valentino Tosatti (Northwestern University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Foliations with positive slopes and stability of cotangent bundle Mihai Paun (Korea Institute for Advanced Study (KIAS)) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Tian's properness conjectures Yanir Rubinstein (University of Maryland) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Kähler-Einstein metrics and higher alpha-invariants Heather Macbeth (Massachusetts Institute of Technology)
Mar 22, 2016
Tuesday
 09:30 AM - 10:30 AM Manifolds of bounded Ricci curvature and the codimension $4$ conjecture Jeff Cheeger (New York University, Courant Institute) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Disconnecting the G_2 moduli space Johannes Nordstrom (University of Bath) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Infinite dimensional geometries on the space of Kahler metrics and applications to canonical metrics Tamas Darvas (University of Maryland) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Kähler Ricci flow on Fano manifold Bing Wang (University of Wisconsin-Madison) 04:30 PM - 06:20 PM Reception
Mar 23, 2016
Wednesday
 09:30 AM - 10:30 AM Compactness of conformally compact Einstein manifolds in dimension 4 Sun-Yung Chang (Princeton University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Asymptotically Conical Calabi-Yau manifolds Ronan Conlon (Florida International University)
Mar 24, 2016
Thursday
 09:30 AM - 10:30 AM L^2 Curvature Bounds on Manifolds with Bounded Ricci Curvature Aaron Naber (Northwestern University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM New Donaldson-Thomas type invariants counting coherent sheaves on Calabi-Yau 4-folds Dominic Joyce (University of Oxford) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Duality between the pseudoeffective and the movable cone on a projective manifold David Witt Nystrom (Chalmers University of Technology) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Gromov-Hausdorff collapse of Calabi-Yau manifolds Mark Gross (University of Cambridge)
Mar 25, 2016
Friday
 09:30 AM - 10:30 AM ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surface Lorenzo Foscolo (State University of New York, Stony Brook) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Stability of weak solutions of the complex Monge-Ampere equation on compact Hermitian manifolds Slawomir Kolodziej (Jagiellonian University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM The Hilbert--Einstein functional and the Sasaki-Futaki invariant Eveline Legendre (Université de Toulouse III (Paul Sabatier)) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Fano-Ricci limit spaces and spectral convergence Akito Futaki (University of Tokyo)