Analysis and Probability Seminar: Sofia Ortega Castillo

Wednesday 14 November 2018, 3:10pm to 4:10pm

Venue

PSC A54 LT - View Map

Open to

Postgraduates, Staff, Undergraduates

Registration

Registration not required - just turn up

Event Details

Strong pseudoconvexity in Banach spaces

I will talk about strong pseudoconvexity as a relevant notion to understand the local geometry of domains of holomorphy with C2 boundary in the finite-dimensional Euclidean spaces over the complex plane. It is also desirable to comprehend the geometry near the boundary of domains of holomorphy in arbitrary Banach spaces, but it may be out of reach to have two degrees of differentiability of a simple example such as the ball of a Banach space, because its norm may lack differentiability. I will justify a suitable notion of strong pseudoconvexity for bounded domains without C2-smooth boundary, that will rely on an adequate generalization of a strict plurisubharmonic function to the case when it is not differentiable. I will also mention examples and counterexamples for these extended notions. And I will discuss special solutions to the Cauchy-Riemann equations on strongly pseudoconvex domains without C2-smooth boundary.

Speaker

Sofia Ortega Castillo

Contact Details

Name Dirk Zeindler
Email

d.zeindler@lancaster.ac.uk

Telephone number

+44 1524 593644