##### Department of Mathematics,

University of California San Diego

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### Math 208 - Seminar in Algebraic Geometry

## Stefano Filipazzi

#### University of Utah

## A generalized canonical bundle formula and applications

##### Abstract:

Birkar and Zhang recently introduced the notion of generalized pair. These pairs are closely related to the canonical bundle formula and have been a fruitful tool for recent developments in birational geometry. In this talk, I will introduce a version of the canonical bundle formula for generalized pairs. This machinery allows us to develop a theory of adjunction and inversion thereof for generalized pairs. I will conclude by discussing some applications to a conjecture of Prokhorov and Shokurov.

Host: James McKernan

### October 12, 2018

### 2:00 PM

### AP&M 5829

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