Algebra/ Geometry Seminar: Strictly pseudoconvex domains in C^2 with obstruction flat boundary, Sean Curry, UCSD

Event Type: 
Seminar
Speaker: 
Sean Curry, UCSD
Event Date: 
Wednesday, March 21, 2018 -
3:00pm to 4:00pm
Location: 
SMLC
Audience: 
General PublicFaculty/StaffStudentsAlumni/Friends
Sponsor/s: 
Dimiter Vassilev

Event Description: 

Abstract: On a bounded strictly pseudoconvex domain in C^n, n>1, the smoothness of the Cheng-Yau solution to Fefferman's Monge-Ampere equation up to the boundary is obstructed by a local curvature invariant of the boundary. For bounded domains in C^2 diffeomorphic to the ball, we motivate and consider the problem of determining whether the global vanishing this obstruction implies biholomorphic equivalence to the unit ball.

Event Contact

Contact Name: Dimiter Vassilev

Contact Email: vassilev@unm.edu