Seminar

# The relation between birational geometry and C*-actions

30 March 2023

Start time

4:00 pm

PovoZero - Via Sommarive 14, Povo (Trento)

Seminar Room “1” (Department of Mathematics)

Target audience:

University community

Attendance:

Online – Registration required

Registration email:

Contact person:

Nicola Fraccarolo

“Doc in Progress” is pleased to introduce you to:

**Lorenzo Barban**- PhD in Mathematics - University of Trento

In this friendly talk we explain how birational transformations arise naturally in the context of C*-actions on projective varieties. With the help of examples, we first review basic notions about algebraic torus actions, explaining for instance the Bialynicki-Birula decomposition. We then concentrate on the geometric quotients of a C*-action, explaining how they are all birational to each other. We conclude by asking the opposite question: under which conditions two birationally equivalent varieties can be realized as geometric quotients by a C*-action?

Download

Poster event "Doc in Progress"_Lorenzo Barban_March 30, 2023 (PDF | 286 KB)