Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar zur Algebra und Zahlentheorie


Dr. Pieter Belmans

spricht am
Mittwoch, 28. November 2018
10:00 Uhr
Raum 1007 (L1)
über das Thema:

»Deformation theory of Hilbert squares through derived categories«

Moduli spaces of sheaves on a variety form a good way to study its geometric properties. The deformation theory of Hilbert schemes of points on surfaces has a particularly rich theory, giving rise to families of hyperkähler varieties (for K3 surfaces), or commutative deformations of Hilbert schemes associated to noncommutative surfaces (e.g. for the projective plane). I will summarise the state-of-the-art, and explain how using fully faithful functors between derived categories one can reprove certain aspects. In higher dimensions we consider the Hilbert scheme of 2 points (or Hilbert square) to ensure smoothness, and explain how our methods yield new and unexpected results regarding their deformation theory. This is joint work with Lie Fu and Theo Raedschelders.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Mo 12-Nov-2018 10:21:02 MEZ