### TBA by Betsy Stovall

- Series
- School of Mathematics Colloquium
- Time
- Tuesday, November 12, 2019 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Betsy Stovall – University of Wisconsin – stovall@math.wisc.edu

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- Series
- School of Mathematics Colloquium
- Time
- Tuesday, November 12, 2019 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Betsy Stovall – University of Wisconsin – stovall@math.wisc.edu

- Series
- Geometry Topology Seminar
- Time
- Monday, November 11, 2019 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Sunny Xiao – Brown University – yang_xiao@brown.edu

- Series
- Student Algebraic Geometry Seminar
- Time
- Monday, November 11, 2019 - 13:15 for 1 hour (actually 50 minutes)
- Location
- Skiles 254
- Speaker
- Kevin Shu – Georgia Tech (grad student) – kshu8@gatech.edu

TBD

- Series
- Stochastics Seminar
- Time
- Thursday, November 7, 2019 - 15:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Han Huang – GeorgiaTech

- Series
- High Dimensional Seminar
- Time
- Wednesday, November 6, 2019 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Vishesh Jain – MIT

We will discuss a novel approach to obtaining non-asymptotic estimates on the lower tail of the least singular value of an $n \times n$ random matrix $M_{n} := M + N_{n}$, where $M$ is a fixed matrix with operator norm at most $O(\exp(n^{c}))$ and $N_n$ is a random matrix, each of whose entries is an independent copy of a random variable with mean 0 and variance 1. This has been previously considered in a series of works by Tao and Vu, and our results improve upon theirs in two ways:

(i) We are able to deal with $\|M\| = O(\exp(n^{c}))$ whereas previous work was applicable for $\|M\| = O(\poly(n))$.

(ii) Even for $\|M\| = O(poly(n))$, we are able to extract more refined information – for instance, our results show that for such $M$, the probability that $M_n$ is singular is $O(exp(-n^{c}))$, whereas even in the case when $N_n$ is an i.i.d. Bernoulli matrix, the results of Tao and Vu only give inverse polynomial singularity probability.

- Series
- Analysis Seminar
- Time
- Wednesday, November 6, 2019 - 13:55 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Polona Durcik – Caltech – durcik@caltech.edu

Brascamp-Lieb inequalities are estimates for certain multilinear forms on functions on Euclidean spaces. They generalize several classical inequalities, such as Hoelder's inequality or Young's convolution inequality. In this talk we consider singular Brascamp-Lieb inequalities, which arise when one of the functions in the Brascamp-Lieb inequality is replaced by a singular integral kernel. Examples include multilinear singular integral forms such as paraproducts or the multilinear Hilbert transform. We survey some results in the area.

- Series
- PDE Seminar
- Time
- Tuesday, November 5, 2019 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Pierre-Emmanuel Jabin – University of Maryland – pjabin@cscamm.umd.edu

TBA

- Series
- Algebra Seminar
- Time
- Tuesday, November 5, 2019 - 13:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Daniel Corey – University of Wisconsin – dcorey@math.wisc.edu

TBD.

- Series
- Geometry Topology Seminar
- Time
- Monday, November 4, 2019 - 14:00 for
- Location
- Skiles 006
- Speaker
- Tom Hockenhull – University of Glasgow

TBA

- Series
- Combinatorics Seminar
- Time
- Friday, November 1, 2019 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Ross Berkowitz – Yale University

TBA

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