BlaineFest 2012: Cycles, Calibrations, and Nonlinear Partial Differential Equations

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source: LeonhardEuler1    2014年8月13日
Talks from BlaineFest 2012: Cycles, Calibrations, and Nonlinear Partial Differential Equations (in honor of Blaine Lawson's 70th birthday), held at Stony Brook in October of 2012.
The conference website, which includes the videos, as well as slides for many of the talks, can be found here: http://www.math.sunysb.edu/Videos/Cycles2012/
Some of the video download links don't appear to be working at this time, so I would definitely suggest checking out the other videos by Griffiths, Wermer, Bourguignon, and Harvey.

Aaron Naber, Classification of Tangent Cones and Lower Ricci Curvature 59:52
The abstract for this talk is:
"We consider limit spaces (Mi,gi,pi) → (X,d,p), where the spaces $M_i$ are noncollapsed and have Ricci curvature uniformly bounded from below. In this case we study the set TC(p) of metric spaces which consists of the possible tangent cones at p, and give a classification result which says exactly which subsets of all metric spaces can arise as TC(p) for some such limit. We use this to build new examples of limit spaces with particularly degenerate behaviors. In particular we show limit spaces cannot be stratified based on their tangent cones, and that there exists a limit space for which there are even nonhomeomorphic tangent cones at a point. This is joint work with Toby Colding."
Simon Brendle, Minimal Tori in S^3 and Lawson's Conjecture 53:21
Vincent Guedj, Convergence of the Normalized Kähler-Ricci Flow on Fano Varieties 1:00:06
Eric Friedlander, Intersection on Singular Varieties 1:01:25
Cumrun Vafa, Feynman Graphs and Calabi-Yau Threefolds 59:12
Isadore Singer, Beyond the String Genus 45:21
Jeff Cheeger, Volume Estimates on Sets of Points at which the Regularity Scale is Small 59:30
Conan Leung, Instantons in G_2 Geometry 1:16:36
Mark Haskins, Recent Progress in G_2 geometry 1:14:45
Gang Tian, Conic Kähler-Einstein Metrics 58:19
Claire Voisin, Unramified Cohomology and Integral Hodge Classes 1:05:32
Paulo Lima-Filho, Integral Currents, Equivariant Cohomology and Regulators for Real Varieties 1:01:45
Robert Bryant, On the Local Classification of AmbiKähler Structures in Dimension 4 1:12:20
José Figueroa-O'Farrill, Supersymmetry of Hyperbolic Monopoles 52:41
Rick Schoen, Minimal Surfaces as Extremals of Eigenvalue Problems 59:48
Robert Hardt, Some Homology and Cohomology Theories for a Metric Space 1:04:57
Sema Salur, Calibrations in Contact and Symplectic Geometry 1:16:20
Alice Chang, On a Class of Non-local Conformal Invariants on Asymptotic Hyperbolic Manifolds 56:39
Spiro Karigiannis, Survey of Results About G_2 Conifolds 1:06:38
Nigel Hitchin, The Dirac Operator for Higgs Bundles 59:28
Misha Verbitsky, Global Torelli Theorem for Hyperkähler Manifolds 1:02:36