# Seminars & Colloquia Calendar

Algebra Seminar

## Singularities of general fibers in positive characteristic

#### Joe Waldron -- Princeton University

Location:  Hill 425
Date & time: Wednesday, 18 April 2018 at 2:00PM - 3:00PM

Abstract:  Generic smoothness fails to hold for some fibrations in positive characteristic. We study consequences of this failure, in particularly by obtaining a canonical bundle formula relating a fiber with the normalization of its maximal reduced subscheme. This has geometric consequences, including that generic smoothness holds on terminal Mori fiber spaces of relative dimension two in characteristic p $$\ge$$ 11.

This is joint work with Zsolt Patakfalvi.

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