KSB stability is automatic in codimension 3

Name: KSB stability is automatic in codimension 3
Start: 2025-01-24T15:00:00+00:00
End: 2025-01-24T16:00:00+00:00
Location: Science Center 507

SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY

When: January 24, 2025

3:00 pm - 4:00 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Sándor Kovács (Univ. of Washington)

I will start with a review of KSB/A stability, especially their local version and then discuss joint work with János Kollár, showing that it is enough to check these conditions, including flatness, up to codimension 2. This implies that we have a very good understanding of this stability condition in general, because local KSB-stability is trivial at codimension 1 points, and quite well understood at codimension 2 points, since we have a complete classification of 2-dimensional slc singularities.

Please note the unusual date.