2:00pm to 2:50pm - Zoom - Working Group in Information TheoryTryphon Georgiou - (UC Irvine)Quantum Channels This week, we will discuss Quantum Channels. Working Group in Information Theory is a self-educational project in the department. Techniques based on information theory have become essential in high-dimensional probability, theoretical computer science and statistical learning theory. On the other hand, information theory is not taught systematically. The goal of this group is to close this gap. |

9:00am to 10:00am - Zoom - Inverse ProblemsShari Moskow - (Drexel University)Reduced order models for spectral domain inversion: embedding into the continuous problem and generation of internal data |

4:00pm to 5:00pm - https://zoom.us/j/8473088589 - Graduate SeminarKatya Krupchyk - (UC Irvine)Introduction to inverse boundary problems for elliptic PDE We provide a general introduction to the field of inverse boundary problems for elliptic PDE, with the celebrated Calderon problem serving as a prototypical example. The emphasis of the talk is on the techniques based on Carleman estimates and their role in the construction of complex geometric optics solutions. We also survey some of the more recent developments, including partial data problems, inverse boundary problems on manifolds, as well as inverse boundary problems for non-linear equations. |