University of California, Irvine

Department of Mathematics

Differential Geometry Seminar

Fall 2003, MSTB 254, Tuesdays 4-5pm

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Date Time & Location Speaker
Title
TUESDAY
(Sept. 23) 		4:00PM
in MSTB 254 		Ken-Ichi Yoshikawa
(Tokyo Univ)		 K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space
TUESDAY
(Oct. 7) 		4:00PM
in MSTB 254 		Zuoliang Hou
(MSRI)		 Local Complex Singularity exponents
TUESDAY
(Oct. 14) 		2:00PM
at UCSD 		Peter Ebenfelt
(UCSD)		 Geometric properties of mappings between CR manifolds of higher codimension
TUESDAY
(Oct 14) 		4:00PM
at UCSD 		Jon Wolfson
(Michigan State and Stanford)		 Lagrangian cycles and variational problems
TUESDAY
(Oct. 21) 		4:00PM
in MSTB 254 		Anda Degeratu
(MSRI) 		Crepant Resolutions of Calabi-Yau orbifolds
TUESDAY
(Nov 4) 		4:00PM
in MSTB 254 		Bo Guan
U. Tennessee		 Locally convex hypersurfaces of constant curvature with boundary

 

Oct. 14, Peter Ebenfelt

A classical result in SCV is the fact that a nonconstant holomorphic map sending a piece of the unit sphere in $\mathbb C^N$ into itself is necessarily locally biholomorphic (and, in fact, extends as an automorphism of the unit ball). Generalizations and variations of this result for mappings between real hypersurfaces have been obtained by a number of mathematicians over the last 30 years. In this talk, we shall discuss some recent joint work with L. Rothschild along these lines for mappings between CR manifolds of higher codimension.

Oct. 21, Andy Degeratu

A Calabi-Yau orbifold is locally modeled on C^n/G where G is afinite subgroup of SL(n, C). One way to handle this type of
orbifolds is to resolve them using a crepant resolution of singularities.We use analytical techniques to understand the topology of the crepant resolution in terms of the finite group G. This gives ageneralization of the geometrical McKay Correspondence.