This Friday George Lytle and Joseph Cummings (Ph.D. candidates at University of Kentucky) will be visiting for colloquium at 3 PM in 103A Walker. As part of the UK Appalachian Initiative for Mathematics, they will give a brief research talk on Electrical Impedance Tomography, and then run an informal panel on graduate school.
Abstract: Different parts of our bodies conduct electricity differently. If we know the conductivity as a function, it allows us to have an “image” of the body. The process of Electrical Impedance Tomography takes voltage and current measurements from the boundary of a body and uses that information to reconstruct the conductivity function. Mathematically, this involves an inverse problem known as Calder ´ on’s problem. In this talk, we will discuss the machinery of the inverse problem and the role that approximations play in reconstruction techniques.
After the talk, there will be a 20-30 minute informal panel on graduate school where the students will have a chance to ask questions about graduate school and what it means to study mathematics.