|
4:00pm to 5:00pm - RH 306 - Applied and Computational Mathematics Sebastian Aland - (TU Freiberg) Droplets on soft substrates and biomembranes - Numerical simulation of soft wetting The contact of a deformable fluid surface with a deformable solid surface gives rise to a rich variety of phenomena, including topological changes. In this talk, I will present a computational model which is capable to shed some light on these processes. The numerical method is based on a combination of the phase-field model for two-phase flow and an evolving finite-element method for the elastic structure. We demonstrate the flexibility and accuracy of this novel method and connect the numerical results to recent findings in cell biology, where the interaction of droplets with biological membranes produces intriguing phenomena. |
|
4:00pm to 5:30pm - RH 340P - Logic Set Theory Julian Eshkol - (UC Irvine) Small Large Cardinals III |
|
4:00pm to 5:30pm - RH 340 P - Logic Set Theory Julian Eshkol - (UC Irvine) Small Large Cardinals IV |
|
2:00pm to 3:00pm - 510R Rowland Hall - Combinatorics and Probability Lily Reeves - (Caltech) Chemical distance for 2d critical percolation Percolation clusters induce an intrinsic graph distance called the chemical distance. Besides its mathematical appeal, the chemical distance is connected to the study of random walks on critical percolation clusters. In this talk, I will begin with a brief survey on the chemical distance. Then, I will zoom in to the progress and challenges in the 2d critical regime. A portion of this talk is based on joint work with Philippe Sosoe. |
|
9:00am to 10:00am - Zoom - Inverse Problems Lili Yan - (University of Minnesota) Stable determination of time-dependent collision kernel in the nonlinear Boltzmann equation |
|
3:00pm to 3:50pm - RH 306 - Number Theory Bolun Wei - (University of Arizona) L-functions for a family of generalized Kloosterman sums in two variables Firstly I will use Dwork's cohomology to compute half of the Newton polygon of the L-function under some conditions. Then I will introduce the dual theory and deformation theory to get the p-adic differential equation, which in modern name is the Gauss-Manin connection in my case. Then by analyzing the formal solutions at infinity, the irregular singular point, we are able to obtain a functional equation for the L-function when the base prime p large enough. The functional equation will give us the rest half of the Newton polygon. This explicit Newton polygon will be an evidence that satisfies Wan's limit conjecture. |
|
1:00pm - MSTB 124 - Graduate Seminar Tomasz Prytula - (https://alexandra.dk/about-the-alexandra-institute/) From pure math to artificial intelligence I will tell about my day-to-day life at a research company, focusing on digitalization and artificial intelligence. I will also share some experiences and tips on transitioning from pure mathematics to IT. |