RTG2491 Spring School on Decoupling and More

March 24 - 28, 2025

SPEAKERS

Mini-Courses

Zane Kun Li (North Carolina State University)
Changkeun Oh (Seoul National University)
Niclas Technau (Bonn University)

Other Speakers
Rajula Srivastava (Bonn University/University of Edinburgh)
Katy Woo (Princeton University)

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REGISTRATION

Please register here

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TENTATIVE PROGRAMME

Mini-Courses

Zane Kun Li (North Carolina State University)
Title: An introduction to decoupling theory
Abstract: In the last 10 years, Fourier decoupling theory has had numerous striking applications to PDE, number theory, and geometric measure theory. In this series of lectures, we will provide an introduction to decoupling theory by discussing tools, heuristics, and techniques for Fourier decoupling, in particular concentrating on the case of decoupling for the parabola.

Changkeun Oh (Seoul National University)
Title: A high-low method in decoupling theory
Abstract: In 2014, a decoupling inequality was proved by Bourgain and Demeter. Since their work, many different proofs of the decoupling inequality for the parabola have been found. Among them, the proof using the high-low method is particularly notable because it provides the current best bound for the decoupling constant for the parabola. In this series of lectures, I will give a simplified proof of a decoupling inequality for the parabola using a high-low method.

Niclas Technau (Bonn University)
Title: Counting Rational Points Near Manifolds
Abstract: Counting rational points on, or close to manifolds is a basic problem with far reaching applications. The objective of this mini-course is twofold. First, we explain the role of Fourier transforms of surface measures for this counting problem. Special attention is paid to an inductive, multi-scale argument due to J.-J. Huang. Second, we detail applications in algebraic geometry (Serre's dimension growth conjecture), and Diophantine approximation (Khintchine's theorem on manifolds).

Further Talks

Rajula Srivastava (Bonn University/University of Edinburgh)
Title: Counting Rational Points near Manifolds: Beyond Hypersurfaces

Katy Woo (Princeton University)
Title: Manin's conjecture for Chatelet surfaces

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Gong Talk Session

TRAVEL AND ACCOMODATION

Here you will find information on how to get to and your stay in Göttingen.

Arriving in Göttingen

Closest airports: Frankfurt Main International, Hannover

Göttingen is well connected via fast trains to most major cities in Germany. The travel time from Frankfurt is about 2h and from Hannover less than 1h.

Walking from the train station to the Mathematical Institut takes no more than 20 minutes passing through the town centre. Most hotels are in walking distance from the main building, however there is also a chance of using the buses.

Hotels

Here is a list of recommended Hotels in Göttingen:

Leine Hotel
Eden Hotel
Hotel Central
G Hotel
Novostar
Hotel Stadt Hannover

Map

Here is a map where you can find bus stops, sightseeing points and other information about Göttingen. The link is set to the Autumn School room, you can move freely within the map.