| Talk_id | Date | Speaker | Title |
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31564
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Wednesday 2/8
4:10 PM
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Alexander Volberg, MSU
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Noncommutative Bohnenblust--Hille inequalities and application to learning the quantum observables
- Alexander Volberg, MSU
- Noncommutative Bohnenblust--Hille inequalities and application to learning the quantum observables
- 02/08/2023
- 4:10 PM - 5:00 PM
- C304 Wells Hall
(Virtual Meeting Link)
- Willie Wai-Yeung Wong (wongwil2@msu.edu)
Bohnenblust--Hille inequalities for Boolean cubes have been proven with dimension-free constants that grow sub-exponentially in the degree (Defant—Mastylo—Peres). Such inequalities have found great applications in learning low degree Boolean functions (Eskenazis—Ivanisvili). Motivated by learning quantum observables, a quantum counterpart of Bohnenblust--Hille inequality for Boolean cubes was recently conjectured in Cambyse Rouz\’e, Melchior Wirth, and Haonan Zhang: ``Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum Boolean functions.” arXiv preprint, arXiv:2209.07279, 2022.
Haonan Zhang and myself prove such noncommutative Bohnenblust--Hille inequalities with constants that are dimension-free and of exponential growth in the degree. As applications, we study learning problems of quantum observables.
(Speaker will present remotely)
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30461
|
Wednesday 3/22
4:10 PM
|
Katrina Morgan, Northwestern University
|
TBA
- Katrina Morgan, Northwestern University
- TBA
- 03/22/2023
- 4:10 PM - 5:00 PM
- C304 Wells Hall
- Willie Wai-Yeung Wong (wongwil2@msu.edu)
TBA
|
|
29400
|
Wednesday 4/5
4:10 PM
|
Matt Jacobs, Purdue
|
TBA
- Matt Jacobs, Purdue
- TBA
- 04/05/2023
- 4:10 PM - 5:00 PM
- C304 Wells Hall
- Olga Turanova (turanova@msu.edu)
TBA
|
|
29385
|
Wednesday 4/12
4:10 PM
|
Leonardo Abbrescia, Vanderbilt University
|
A localized picture of the maximal development for shock forming solutions of the 3D compressible Euler equations
- Leonardo Abbrescia, Vanderbilt University
- A localized picture of the maximal development for shock forming solutions of the 3D compressible Euler equations
- 04/12/2023
- 4:10 PM - 5:00 PM
- C304 Wells Hall
(Virtual Meeting Link)
- Willie Wai-Yeung Wong (wongwil2@msu.edu)
Understanding the behavior of solutions to the compressible Euler equations for large times necessitates a sharp analysis of possible singularities that can form. Our understanding of shock singularities in three space dimensions has enjoyed a dramatic surge in progress in the past two decades due in part to the mathematical techniques that were developed to study Einstein’s equations. In this talk, I will discuss my recent work which provides a sharp localized description of a shock singularity as part of the boundary of maximal development of smooth data. The set of Cartesian spacetime points on which a singularity occurs, which we call the singular boundary $\mathcal{B}$, has the structure of an embedded hypersurface with very degenerate causal properties. I will give an overview of the difficulties that occur in the construction of the singular boundary, and if time permits, also discuss the construction of the Cauchy horizon which emanates from the past boundary of $\mathcal{B}$.
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30452
|
Wednesday 4/26
4:10 PM
|
Yakov Shlapentokh-Rothman, University of Toronto
|
TBA
- Yakov Shlapentokh-Rothman, University of Toronto
- TBA
- 04/26/2023
- 4:10 PM - 5:00 PM
- C304 Wells Hall
- Willie Wai-Yeung Wong (wongwil2@msu.edu)
TBA
|
