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Princeton-Tokyo workshop on
Geometric Analysis

Date March 16 (Mon) – 20 (Fri), 2015 Place Lecture Hall, Graduate School of Mathematical Sciences, the University of Tokyo Organizer Kengo Hirachi (Univ. Tokyo) Alice Chang (Princeton) Paul Yang (Princeton) Akito Futaki (Univ. Tokyo) Masahiko Kanai (Univ. Tokyo)

March 16 11:20 - 12:10　María del Mar González (Univ. Politècnica de Catalunya) "ODE solutions for fractional Laplacian equations in conformal geometry" 14:00 - 14:50　Paul Yang (Princeton Univ.) "The Q-prime curvature equation" 15:00 - 15:50　Kota Hattori (Keio Univ.) "New examples of compact special Lagrangian submanifolds embedded in hyper-Kähler manifolds"

March 17 9:00 - 9:50　Matthew Gursky (Univ. Nortre Dame) Lecture 1 "Critical metrics for quadratic Riemannian functionals in dimension four" 10:10 - 11:00　Gábor Székelyhidi (Univ. Nortre Dame) Lecture 1 "Hessian type equations on compact Kähler manifolds" 11:20 - 12:10　Shinichiroh Matsuo (Osaka Univ.) "The pertubation of the Seiberg-Witten equations revisited" 14:00 - 14:50　Shigeharu Takayama (Univ. Tokyo) "On moderate degenerations of polarized Ricci-flat Kähler manifolds" 15:00 - 15:50　Robin Graham (Univ. Washington) "Conformal BGG Sequences via Poincaré Metrics"

March 18 9:00 - 9:50　Matthew Gursky (Univ. Nortre Dame) Lecture 2 "Critical metrics for quadratic Riemannian functionals in dimension four" 10:10 - 11:00　Gábor Székelyhidi (Univ. Nortre Dame) Lecture 2 "Hessian type equations on compact Kähler manifolds" 11:20 - 12:10　Gang Tian (Princeton Univ.) "Analytic MMP through continuity method"

March 19 9:00 - 9:50　Matthew Gursky (Univ. Nortre Dame) Lecture 3 "Critical metrics for quadratic Riemannian functionals in dimension four" 10:10 - 11:00　Gábor Székelyhidi (Univ. Nortre Dame) Lecture 3 "Hessian type equations on compact Kähler manifolds" 11:20 - 12:10　Kengo Hirachi (Univ. Tokyo) "Q and Q-prime curvature in CR geometry" 14:00 - 14:50　Duong Phong (Columbia Univ.) "The constant rank problem for degenerate elliptic fully non-linear equations" 15:00 - 15:50　Jacob Sturm (Rutgers Univ.) "The Ricci flow on the sphere with marked points"

March 20 9:00 - 9:50　Andreas Cap (Univ. Vienna) "Projective compactifications" 10:10 - 11:00　John M. Lee (Univ. Washington) "Shear-free asymptotically hyperboloidal initial data in general relativity" 11:20 - 12:10　Rafe Mazzeo (Stanford Univ.) "Asymptotics of the hyperKähler metric on the Hitchin moduli space" 14:00 - 14:50　Jeff Viaclovsky (Univ. Wisconsin, Madison) "Scalar-flat Kähler ALE metrics on minimal resolutions" 15:00 - 15:50　Gunther Uhlmann (Univ. Washington) "Boundary and Lens rigidity and Travel Time Tomography"