### TBA

- Series
- Geometry Topology Seminar
- Time
- Monday, April 25, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Ruffoni, Lorenzo – Tufts University – lorenzo.ruffoni@tufts.edu

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- Series
- Geometry Topology Seminar
- Time
- Monday, April 25, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Ruffoni, Lorenzo – Tufts University – lorenzo.ruffoni@tufts.edu

- Series
- Geometry Topology Seminar
- Time
- Monday, April 18, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Samantha Allen – UGA

- Series
- Geometry Topology Seminar
- Time
- Monday, April 11, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Akram Alishahi – UGA – Akram.Alishahi@uga.edu

- Series
- Geometry Topology Seminar
- Time
- Monday, April 4, 2022 - 14:00 for
- Location
- Skiles 006
- Speaker
- Luya Wang – University of California, Berkeley

- Series
- Geometry Topology Seminar
- Time
- Monday, March 28, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Jonathan Bowden – jonathan.bowden@mathematik.uni-regensburg.de

- Series
- Geometry Topology Seminar
- Time
- Monday, March 14, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Assaf Bar-Natan – University of Toronto

- Series
- Geometry Topology Seminar
- Time
- Monday, March 7, 2022 - 14:00 for
- Location
- Skiles 006
- Speaker
- Juan Muñoz-Echániz – Columbia University

- Series
- Stochastics Seminar
- Time
- Thursday, March 3, 2022 - 15:30 for 1 hour (actually 50 minutes)
- Location
- ONLINE
- Speaker
- David Harper – Georgia Tech – dharper40@gatech.edu

In first-passage percolation (FPP), we let \tau_v be i.i.d. nonnegative weights on the vertices of a graph and study the weight of the minimal path between distant vertices. If F is the distribution function of \tau_v, there are different regimes: if F(0) is small, this weight typically grows like a linear function of the distance, and when F(0) is large, the weight is typically of order one. In between these is the critical regime in which the weight can diverge, but does so sublinearly. This talk will consider a dynamical version of critical FPP on the triangular lattice where vertices resample their weights according to independent rate-one Poisson processes. We will discuss results which show that if sum of F^{-1}(1/2+1/2^k) diverges, then a.s. there are exceptional times at which the weight grows atypically, but if sum of k^{7/8} F^{-1}(1/2+1/2^k) converges, then a.s. there are no such times. Furthermore, in the former case, we compute the Hausdorff and Minkowski dimensions of the exceptional set and show that they can be but need not be equal. These results show a wider range of dynamical behavior than one sees in subcritical (usual) FPP. This is a joint work with M. Damron, J. Hanson, W.-K. Lam.

This talk will be given on Bluejeans at the link https://bluejeans.com/283104959/2281

- Series
- Geometry Topology Seminar
- Time
- Monday, February 28, 2022 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Seraphina Lee – University of Chicago – seraphinalee@uchicago.edu

- Series
- Job Candidate Talk
- Time
- Tuesday, February 22, 2022 - 11:00 for 1 hour (actually 50 minutes)
- Location
- https://bluejeans.com/717545499/6211
- Speaker
- Longxiu Huang – UCLA – huangL3@math.ucla.edu

In modern data analysis, the datasets are often represented by large-scale matrices or tensors (the generalization of matrices to higher dimensions). To have a better understanding or extract values effectively from these data, an important step is to construct a low-dimensional/compressed representation of the data that may be better to analyze and interpret in light of a corpus of field-specific information. To implement the goal, a primary tool is the matrix/tensor decomposition. In this talk, I will talk about novel matrix/tensor decompositions, CUR decompositions, which are memory efficient and computationally cheap. Besides, I will also discuss the applications of CUR decompositions on developing efficient algorithms or models to robust decompositions or data completion problems. Additionally, some simulation results will be provided on real and synthetic datasets.

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