| Paper: | Joints of varieties, Tidor--Yu--Zhao |
| Speaker: | Michael Tang (MIGSAA) |
| References: | Joints of varieties, Tidor--Yu--Zhao. |
| The joints problem in \(\mathbb{R}^n\), Quilodrán. | |
| On the size of Kakeya sets in finite fields, Dvir. | |
| Slides: | lecture 1, lecture 2, lecture 3, lecture 4 |
| Paper: | Proof of the Kakeya set conjecture over rings of integers modulo square-free \(N\), Dhar--Dvir |
| Speaker: | John Green (Edinburgh) |
| References: | Proof of the Kakeya set conjecture over rings of integers modulo square-free \(N\), Dhar--Dvir. |
| On the size of Kakeya sets in finite fields, Dvir. | |
| Extensions to the Method of Multiplicities, with applications to Kakeya Sets and Mergers, Dvir--Kopparty--Saraf--Sudan. | |
| The Fourier Restriction and Kakeya Problems over Rings of Integers Modulo \(N\), Hickman--Wright. | |
| Notes and slides: | notes, slides |
| Paper: | Simple proofs for Furstenberg sets over finite fields, Dhar--Dvir--Lund |
| Speaker: | Jonathan Hickman (Edinburgh) |
| References: | Simple proofs for Furstenberg sets over finite fields, Dhar--Dvir--Lund. |
| Furstenberg sets and Furstenberg schemes over finite fields, Ellenberg--Erman. |
| Paper: | The Kakeya maximal function (various papers) |
| Speakers: | Jean Burnazyan and Jonathan Hickman (Edinburgh) |
| References: | Restriction theorems and applications (lecture notes), Tao. |
| Bounds on Oscillatory Integral Operators Based on Multilinear Estimates, Bourgain--Guth. | |
| Improved bounds for the Kakeya maximal conjecture in higher dimensions , Hickman--Rogers--Zhang. | |
| Slides: | slides |
| Paper: | A short proof of the multilinear Kakeya inequality, Guth |
| Speaker: | Khakimboy Egamberganov (Edinburgh) |
| References: | A short proof of the multilinear Kakeya inequality, Guth. |
| Paper: | On continuum incidence problems related to harmonic analysis, Schlag |
| Speakers: | Pierre de Roubin (Edinburgh) and Younes Zine (Edinburgh) |
| References: | On continuum incidence problems related to harmonic analysis, Schlag. |
| Paper: | A geometric proof of the circular maximal theorem, Schlag |
| Speaker: | Aswin Govindan Sheri (MIGSAA) |
| References: | A geometric proof of the circular maximal theorem, Schlag. |
| A generalization of Bourgain's circular maximal theorem, Schlag. |