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Complex Analysis and Geometry Seminar

The Cauchy-Riemann Equations on Hartogs Triangles

Mei-chi Shaw (U. Notre Dame)

Location:  Rutgers Camden, Business and Science Building, Room 132
Date & time: Friday, 28 April 2023 at 11:00AM - 12:00AM

Abstract: The Hartogs triangle in the complex Euclidean space is an important example in several complex variables. It is a bounded pseudoconvex domain with non-Lipschitz boundary. In this talk, we discuss the extendability of Sobolev spaces on the Hartogs triangle and show that the weak and strong maximal extensions of the Cauchy-Riemann operator agree (joint work with A. Burchard, J. Flynn and G. Lu). These results are related to the Dolbeault cohomology groups with Sobolev coefficients on the complement of the Hartogs triangle. We will also discuss some recent progress for the Cauchy-Riemann equations on Hartogs triangles in the complex
projective space (joint work with C. Laurent- Thiébaut).
This seminar is held at Rutgers-Camden, as part of a joint seminar with the Complex Analysis and Geometry seminar at Rutgers-New

The talk will be concurrently broadcast on Zoom. 

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