|
4:00pm to 5:00pm - RH 440R - Logic Set Theory Professor Nam Trang - (University of North Texas) Sealing of the Universally Baire Sets We survey recent work on the Sealing phenomenon. Woodin shows that various forms of Sealing hold in a generic extension of the universe of sets in which there is a supercompact cardinal and a proper class of Woodin cardinals. Sargsyan and I study Sealing in hod mice and compute the exact consistency strength of Sealing. I will give background and state precisely these results. I will also discuss the impact of Sealing on the universe of sets and the inner model program. |
|
3:00pm to 4:00pm - 510R Rowland Hall - Combinatorics and Probability Emeric Antonio Battaglia - (UC Irvine) Extensions of Quantile-Based Randomized Kaczmarz Method Inspired by recent work on the quantile-randomized Kaczmarz method (qRK) for solving a linear system of equations, we propose an acceleration of the randomized Kaczmarz method using quantile information. We show that the method converges faster than the randomized Kaczmarz algorithm when the linear system is consistent. In addition, we demonstrate how this new acceleration may be used in conjunction with qRK, without additional computational complexity, to produce both a fast and robust iterative method for solving large, sparsely corrupted linear systems. Finally, we provide new error horizon bounds for qRK in the setting where the corruption may not be sparse. |
|
4:00pm to 5:00pm - Rowland Hall 440R - Differential Geometry Connor Mooney - (UCI) The Lawson-Osserman conjecture for the minimal surface system Abstract: In their seminal work on the minimal surface system, Lawson and Osserman conjectured that Lipschitz graphs that are critical points of the area functional with respect to outer variations are also critical with respect to domain variations. We will discuss the proof of this conjecture for two-dimensional graphs of arbitrary codimension. This is joint work with J. Hirsch and R. Tione. |