# Hausdorff School: “The Circle Method”

## Online Hausdorff school on "The Circle Method: Entering its Second Century"

Dates: May 10 - 14 and May 17-21 (2 weeks) 2021

Organizers: Lillian B. Pierce (Duke University), Oscar Marmon (University of Lund)

The Circle Method emerged one hundred years ago from ideas of Ramanujan, Hardy and Littlewood, and quickly became the most powerful analytic method for counting solutions to Diophantine equations. As the Circle Method enters its second century, new work is making significant advances both in strengthening results in classical Diophantine settings, and in demonstrating applications in novel settings. This includes function field, number field, adelic, geometric, and harmonic analytic applications, with striking consequences in areas such as ergodic theory, subconvexity for $L$-functions, and the Langlands program.

This summer school for graduate students and postdocs will present accessible lecture series that demonstrate how to apply the Circle Method in a wide variety of settings. Participants will gain both a foundational understanding of the core principles of the Circle Method, and an overview of cutting-edge applications of the method.

Key Speakers: The following speakers will give a lecture series:

•  Timothy Browning (IST Austria)
•  Jayce Robert Getz (Duke University)
•  Yu-Ru Liu (University of Waterloo)
•  Ritabrata Munshi (Indian Statistical Institute)
•  Simon Myerson (University of Warwick)
•  Lillian B. Pierce (Duke University)

• Kirsti Biggs (University of Gothenburg)
• Julia Brandes (University of Gothenburg)
• Oscar Marmon (Lund University)
• Damaris Schindler (University of Göttingen)
• Pankaj Vishe (Durham University)

If you are interested in attending the Hausdorff School, please klick here for online registration.

Please see here informations on our trimester program "Harmonic Analysis and Analytic Number Theory".

## Video recordings and slides

Simon Myerson: Repulsion: a how-to guide

Lecture I

Lecture II

Lecture III

Lecture IV

Jayce Getz: New avenues for the circle method

Lecture I

Lecture II

Lecture III

Lecture IV