University of Cambridge > Talks.cam > Junior Geometry Seminar > Calderon problem for connections

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Calderon problem for connections

Download to your calendar using vCal

  • UserMihajlo Cekic (Cambridge)
  • ClockFriday 04 March 2016, 15:00-16:00
  • HouseMR13.

If you have a question about this talk, please contact Christian Lund .

We consider the problem of determining the connection on a vector bundle from the knowledge of the associated Dirichlet-to-Neumann map. This problem admits a natural gauge symmetry, namely automorphisms fixing the boundary. In this talk we will discuss the approach based on Limiting Carleman Weights, that allow us to construct the Complex Geometric Optics solutions (CGO). We will shortly describe how to construct the CGOs from the Gaussian Beams, which are approximate eigenfunctions of the Laplacian that concentrate along geodesics. A reconstruction procedure will be discussed in the case of line bundles and also the interaction between the unique continuation principle and the holonomy with the Cauchy data.

This talk is part of the Junior Geometry Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Kavli Institute for Cosmology - Summer Series Linklaters Room, Faculty of Law Babraham - The Cambridge Building - The Petersfield Lecture Theatre

Other talks

Optimal metric and approximation of free boundary minimal surfaces Cambridge RNA Club - IN PERSON Title to be confirmed Sheref Mansy, topic TBA Title TBC LCLU Annual Talk: The Early Aqueous Environment of Mars Inferred From Mission Lifetime Results by the Curiosity Rover at Gale Crater
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity