SCV Seminar

Wednesday, Jan. 13th.	Taeyong Ahn (University of Michigan) Super-potentials and Convergence: I will talk about super-potentials and convergence. I will introduce the concept of super-potentials and talk about the relationship between the convergence of super-potentials and currents.
Friday, Feb. 5th. 4-5pm 4096 EH	Norm Levenberg (Indiana University, Bloomington) Recovering a (pluri-)potential theoretic equilibrium measure: In classical potential theory in the complex plane, given a non-polar compact set K, there exists a unique probability measure supported in K with minimal logarithmic energy. More generally, when one introduces a weight function on K, there is a unique weighted logarithmic energy minimizer. We define several complex variables versions of analogues of these equilibrium measures, and we show how one can recover them as weak-* limits of naturally defined approximating sequences.
Wednesday, Feb. 17th.	Kazuo Azukawa (University of Toyama, Japan) Lupe magic squares of order A^2+3B^2 odd (II): Click for abstract
Thursday, Feb. 18th. 2-3pm 3096 EH	Crystal Zeager (University of Michigan) The Azukawa pseudometric and the pluricomplex Green function, part 2: I will prove some of the results that were stated in the first talk. Specifically, I will prove results about continuity of the Azukawa metric and of the Green function.
Wednesday, Mar. 24th.	Yuan Zhang (University of California, San Diego) Monotonicity for the Chern-Moser-Weyl curvature tensor and CR embeddings : In the joint work with X. Huang, a monotonicity property has been detected for a CR embedding from a Levi non-degenerate hypersurface into another one with the same signature. Roughly speaking, the CR embedding decreases the Chern-Moser-Weyl curvature along the null space of the Levi-form. The criterion allows us to construct many algebraic levi non-degenerate hypersurfaces non-embeddable into hyperquadrics of the same signature.
Thursday, Apr. 8th. 4-5pm 3088 EH	David Barrett (University of Michigan) The Plateau and isoperimetric problems for Fefferman's measure. : This talk will examine the Plateau and isoperimetric problems for Fefferman's measure on strongly pseudoconvex hypersurfaces in C^2. Connections will be drawn with the corresponding problems in euclidean and equiaffine geometry; with an inequality of Hardy and Littlewood; and (time permitting) with the work of Jerison and Lee on the CR Yamabe problem. This is joint work with Chris Hammond.
Wednesday, Apr. 14th.	Crystal Zeager (University of Michigan) Tautness and Fatou components in P^2 : A domain D is called taut if the family of holomorphic maps from the disk into D is normal. Tautness is related to the Kobayashi metric, and can be used to study the dynamics of Fatou components. We investigate the tautness of Fatou components for holomorphic endomorphisms of P^2.