Talk
Conservative descent for semi-orthogonal decompositions
Talk by Prof. Dr. Olaf Schnürer
Speaker invited by: Prof. Dr. Christian Okonek
Date: 26.02.18 Time: 13.15 - 14.45 Room: Y27H25
Motivated by the local flavor of several well-known semi-orthogonal decompositions in algebraic geometry, we introduce a technique called conservative descent, which shows that it is enough to establish these decompositions locally. The decompositions we have in mind are those for projectivized vector bundles and blow-ups (due to Orlov) and root stacks (due to Ishii and Ueda). Our technique simplifies the proofs of these decompositions and establishes them in greater generality for algebraic stacks. We may also discuss semi-orthogonal decompositions for families of Brauer-Severi varieties (due to Bernardara). This is joint work with Daniel Bergh (Copenhagen).