Lecturers

• Paolo Cascini, Imperial College London  (UK)

• Calum Spicer, King's College London (UK)

• Yuting Liu, Imperial College London  (UK)

• Stefania Vassiliadis, London School of Geometry and Number Theory (UK)

Description

We will explore the birational geometry of foliations on complex varieties and in positive characteristic. We will begin with the theory of foliations on complex algebraic surfaces, introducing key concepts and examples. Afterward, we will discuss the Miyaoka-Campana-Păun Theorem, which connects the geometry of a variety with the positivity properties of its foliations. We will develop tools such as the study of singularities of foliations and Reeb's stability theorem. In the final part of the course, we will cover some of the main results of the Minimal Model Program (MMP) for foliations in higher dimension and discuss applications, including results related to the canonical bundle formula.

Registration

Please, fill in our registration form. Deadline: 

• January 31, 2026 (if your are applying for financial support)

• March 10, 2026 (if you are not applying for financial support)

Equality, diversity and sustainability

The organizers are committed to advance gender equality, to value diversity, and to promote sustainability in academia. For this reason we will make reasonable attempts to secure a diverse line-up of speakers and participants and to reduce waste in the series of Trento Schools in Geometry.

Organizers

Livia Campo (Vienna, Austria), Pedro Montero (Valparaíso, Chile), Elisa Postinghel (Trento, Italy), Luis E. Solá Conde (Trento, Italy)

Contact us at: singtn.math@unitn.it