NWU Set Theory Seminar (From 2024 January)
Hello~ Welcome to the Set Theory Seminar at Northwest Univeristy!🎉🎉🎉
This is a regularly held up seminar organized by graduates from 2014, Mathematics and Applied Mathematics at the School of Mathematics, Northwest University. We invite you to join us for discussions, presentations, and auditions.
For subscription, please send an email including your resume to any organizer below. For instance, you can send it to one of the organizer wanghm37@mail2.sysu.edu.cn. Once we have reviewed your resume, we will send you an email one day before, containing the title, abstract, and Tencent Meeting link for the upcoming event.
Our discussions typically take place on Fridays, once every one to two weeks. The inaugural session is scheduled for February 2, 2024, from 1:00 p.m. to 3:00 p.m (Beijing Time). You can find updated information on titles and abstracts on Seminar.
If you have any question or need help, feel free to ask!
Organizers
Cao Zilong (Mathematical Statistics)
PhD, School of Mathematics, Northwest University
Email: nwu_czl@stumail.nwu.edu.cn
Mu Miaomiao (Number Theory, Algebraic Geometry) *Female
PhD, School of Mathematical Sciences, University of Science and Technology of China
Email: mumm@mail.ustc.edu.cn
Qian Jingxu, (Mathematical Physics)
Graduate, Department of Physics, National University of Defense Technology
Email: qian_jingxu@alumni.nudt.edu.cn
Shao Kerun (Analysis, Partial Differential Equations)
Email: 12335003@zju.edu.cn
PhD, School of Mathematical Sciences, Zhejiang University
Sheng Xi (Analysis, Topology, Dynamic Systems)
PhD, School of Mathematical Sciences, University of Science and Technology of China
Email: sunx@mail.ustc.edu.cn
Wang Haoming (Combinatorics, Probability, Statistics)
PhD, School of Mathematics, Sun Yat-sen University
Email: wanghm37@mail2.sysu.edu.cn
Xue Xiaolong (Topology, Differential Geometry)
PhD, Department of Mathematical Sciences, Tsinghua University
Email: xxl19@mails.tsinghua.edu.cn
Yang Yixuan (Theoretical Computer Science, Mathematical Logic)
PhD, Department of Computer Science and Engineering, South University of Science and Technology of China & Department of Computer Science, Warwick University
Email: nakeryang@gmail.com
Upcoming Events
206/01/30, 10:00 a.m., Tencent Meeting
Tan Ju (Center for Geometry and Physics, IBS, Korea)
Maurer-Cartan deformation spaces of immersed Lagrangians with applications to quiver and sheaf moduli
In this talk, we will explain a geometric framework relating Maurer-Cartan deformation spaces of immersed Lagrangian branes, quiver moduli, and moduli of coherent sheaves via mirror symmetry. If time permits, we will discuss the recent results on localized mirror construction of Nakajima quiver varieties and Hecke correspondence, based on the joint work with Siu-Cheong Lau.
Article. To appear in Journal of Symplectic Geometry.
206/03/06, 10:00 a.m., Tencent Meeting
Zhang Shuqin (Fudan University)
Frostman and Fourier characterisations of fractal dimensions
In this talk, we will examine Frostman-type characterisations and other extremal measure criteria for a range of fractal dimensions of sets. In particular, we derive properties of the less familiar modified lower box dimension and upper correlation dimension. We will also express a number of fractal dimensions in terms of Fourier properties of measures. It is a joint work with Prof. Kenneth. J. Falconer.
Article1, in Mathematische Zeitschrift; Article2 in Journal of Fourier Analysis and Applications.
2026/04/24, 10:00 a.m., Tencent Meeting
Guo Yuhui (Beijing Normal-Hong Kong Baptist University)
Moments and asymptotics for a class of SPDEs with space-time white noise
In this article, we consider the nonlinear stochastic partial differential equation of fractional order in both space and time variables with constant initial condition: \[\left(\partial^{\beta}_t+\dfrac{\nu}{2}\left(-\Delta\right)^{\alpha / 2}\right) u(t, x)= \: I_{t}^{\gamma}\left[\lambda u(t, x) \dot{W}(t, x)\right] \quad t>0,\: x\in \mathbb{R}^d,\] where \(\dot{W}\) is space–time white noise, \(\alpha>0\), \(\beta\in(0,2]\), \(\gamma \ge 0\), \(\lambda\neq0\) and \(\nu>0\). The existence and uniqueness of solution in the It^o-Skorohod sense is obtained under Dalang's condition. We obtain explicit formulas for both the second moment and the second moment Lyapunov exponent. We derive the \(p\)-th moment upper bounds and find the matching lower bounds. Our results solve a large class of conjectures regarding the order of the \(p\)-th moment Lyapunov exponents. In particular, by letting \(\beta=2\), \(\alpha=2\), \(\gamma=0\), and \(d=1\), we confirm the following standing conjecture for the stochastic wave equation: \[t^{-1}\log \mathbb{E}[u(t,x)^p] \asymp p^{3/2}, \quad \text{for $p\ge 2$ as $t\to \infty$.}\] The method for the lower bounds is inspired by a recent work by Hu and Wang (arXiv:2109.03473), where the authors focus on the space-time colored Gaussian noise.
Article, in Transactions of the American Mathematical Society.
2026/06/05, 10:00 a.m., Tencent Meeting
Xiao Ming (Wuhan University of Science and Technology)
The Borel Ramsey properties for countable Borel equivalence relations
We define some natural notions of strong and weak Borel Ramsey properties for countable Borel equivalence relations and show that they hold for a countable Borel equivalence relation if and only if the equivalence relation is smooth. We also consider some variation of the notion for hyperfinite non-smooth Borel equivalence relations.
Article, in Proceedings of the American Mathematical Society.
2026/01+, 10:00 a.m., Tencent Meeting
Shao Kerun (Zhejiang University)
TBA
TBA.
2026/01+, 10:00 a.m., TBA
Feng Yu (Tsinghua University)
TBA
TBA.
Past Events
Special Talks
- 2025/09/19-2026/01/02 - Continuous Logic and Free Probability \(\vartriangleright\) More