Seminar series
Date
Tue, 24 Jan 2012
Time
15:45 -
16:45
Location
L3
Speaker
Bertrand Toen
Organisation
Montpelier
This is a report on a joint work (in progress) with Pantev, Vaquie and Vezzosi. After some
reminders on derived algebraic geometry, I will present the notion of shifted symplectic structures, as well as several basic examples. I will state existence results: mapping spaces towards a symplectic targets, classifying spaces of reductive groups, Lagrangian intersections, and use them to construct many examples of (derived) moduli spaces endowed with shifted symplectic forms. In a second part, I will explain what "Quantization" means in the shifted context. The general theory will be illustrated by the particular examples of moduli of sheaves on oriented manifolds, in dimension 2, 3 and higher.