### TBA

- Series
- PDE Seminar
- Time
- Tuesday, January 21, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Prof. Xiaomin Wang – Southern University of Science and Technology – wangxm@sustech.edu.cn

TBA

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- Series
- PDE Seminar
- Time
- Tuesday, January 21, 2020 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Prof. Xiaomin Wang – Southern University of Science and Technology – wangxm@sustech.edu.cn

TBA

- Series
- Stochastics Seminar
- Time
- Thursday, January 16, 2020 - 15:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Arnaud Marsiglietti – University of Florida – a.marsiglietti@ufl.edu

The hyperplane conjecture, raised by Bourgain in 1986, is a major unsolved problem in high-dimensional geometry. It states that every convex set of volume 1 in the Euclidean space has a section that is lower bounded away from 0 uniformly over the dimension. We will present a probabilistic approach to the conjecture.

- Series
- Geometry Topology Seminar
- Time
- Monday, January 13, 2020 - 14:30 for 2.5 hours
- Location
- Boyd
- Speaker
- TBA

- Series
- CDSNS Colloquium
- Time
- Monday, January 13, 2020 - 11:15 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Federico Rodriguez Hertz – Penn State – hertz@math.psu.edu

- Series
- Job Candidate Talk
- Time
- Thursday, January 9, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Antonio De Rosa – NYU – derosa@cims.nyu.edu

- Series
- School of Mathematics Colloquium
- Time
- Thursday, January 9, 2020 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- June Huh – Princeton University – junehuh@ias.edu

- Series
- Geometry Topology Seminar
- Time
- Monday, January 6, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skile 006
- Speaker
- Melissa Zhang – UGA

- Series
- Job Candidate Talk
- Time
- Monday, January 6, 2020 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Tatyana Shcherbyna – Princeton University – tshcherbyna@princeton.edu

Starting from the works of Erdos, Yau, Schlein with coauthors, significant progress in understanding universal behavior of many random graph and random matrix models were achieved. However for random matrices with a spatial structure, our understanding is still very limited. In this talk I am going to overview applications of another approach to the study of the local eigenvalue statistics in random matrix theory based on so-called supersymmetry techniques (SUSY). The SUSY approach is based on the representation of the determinant as an integral over the Grassmann (anticommuting) variables. Combining this representation with the representation of an inverse determinant as an integral over the Gaussian complex field, SUSY allows to obtain an integral representation for the main spectral characteristics of random matrices such as limiting density, correlation functions, the resolvent's elements, etc. This method is widely (and successfully) used in the physics literature and is potentially very powerful but the rigorous control of the integral representations, which can be obtained by this method, is quite difficult, and it requires powerful analytic and statistical mechanics tools. In this talk we will discuss some recent progress in application of SUSY to the analysis of local spectral characteristics of the prominent ensemble of random band matrices, i.e. random matrices whose entries become negligible if their distance from the main diagonal exceeds a certain parameter called the band width.

- Series
- Geometry Topology Working Seminar
- Time
- Friday, December 13, 2019 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skile 006
- Speaker
- None – None

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, December 11, 2019 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skile 006
- Speaker
- None – None

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