p-adic harmonic analysis
p-进调和分析
p-进调和分析
7月29号至8月2号
南开大学陈省身数学所
在读研究生、博士生以及博士后
p-进调和分析
我们采用的是与会者负责报告相关科研文章的模式。我们挑选了8篇(组)跟p-adic harmonic analysis相关的文章，每位与会者挑选一篇(组)文章，负责在暑期学校前详细阅读并且在暑期学校当周做报告。
每两位与会者合作读一篇(组)文章, 做两次报告, 每人一次, 每次报告一个小时。
我们会为每位与会者提供交通, 餐饮及住宿的资助。
1. Mockenhaupt and Tao: Restriction and Kakeya phenomena for finite fields, Duke, 2004
2. Hickman and Wright: The Fourier restriction and Kakeya problems over rings of integers modulo N, Discrete analysis, 2018
3. Wright: On a conjecture of Igusa in two dimensions, AJM, 2020
4. Cluckers, Mustata, Nguyen: Igusa's conjecture for exponential sums: Optimal estimates for non-rational singularities,
Forum of Math, Pi, 2019
5. Wright: From oscillatory integrals and sublevel sets to polynomial congruences and character sums, JGA, 2011
Wright: From oscillatory integrals to complete exponential sums, MRL, 2011
6. Arovski: The p-adic Kakeya conjecture, JAMS, 2024
Dvir: On the size of Kakeya sets in finite fields, JAMS, 2009
7. Dhar and Dvir: Proof of the Kakeya set conjecture over rings of integers modulo square-free N, Combinatorial theory, 2021
Dhar: The Kakeya set conjecture over Z/(NZ) for general N, Advances in Combinatorics, 2024
8. Dhar: (n, k)-Besicovitch sets do not exist in …, arXiv:2312.02495
郭少明, 南开大学陈省身数学所, shaomingguo2018 at gmail.com
郗平, 西安交通大学 ping.xi at xjtu.edu.cn
席亚昆, 浙江大学 yakunxi at zju.edu.cn