Christian Haesemeyer

https://blogs.unimelb.edu.au/christian-haesemeyer/

Local t-structures and reconstruction

The notion of a local t-structure (or sheaf of t-structures) on derived categories of varieties was introduced by Abramovich and Polishchuk. In this talk, I will discuss joint work with David Gepner on the general notion of a sheaf of t-categories, and how one can use their classification (recently obtained by G. Sahoo and U. Dubey generalising Alonso Tarrio et al) in the case of the Zariski site of a scheme to give a new proof of Bondal and Orlov’s theorem regarding Fourier-Mukai transforms between varieties with (anti-)ample canonical bundle; the proof is similar in spirit to that in recent work of H. Matsui.