Reading Seminar in Algebraic Geometry
Spring 2016
Logistics : Thursday 16:15, IMI, room 503
June 9 Obstructions. Deformations and DGLA's
June 2 Smooth families and the Maurer–Cartan equation  2
May 26 Smooth families and the Maurer–Cartan equation
May 19 Hopf surfaces and the semicontinuity theorem  5
May 5 Hopf surfaces and the semicontinuity theorem  4
Apr 28 Hopf surfaces and the semicontinuity theorem  3
Apr 21 Hopf surfaces and the semicontinuity theorem  2
Apr 14 Hopf surfaces. Semicontinuity theorem.
Apr 7 Semicontinuity and the Maurer–Cartan equation
Mar 31 Kodaira–Spencer maps 5
Mar 24 Kodaira–Spencer maps 4
Mar 17 Kodaira–Spencer maps 3
Mar 10 Infinitesimal deformations and Kodaira–Spencer maps 2
Feb 25 The local and global Kodaira–Spencer map
We continue with the topic from Fall 2015.
In a short series of talks I will present a brief, subjectively skewed introduction to deformation theory,
with the attempt to outline the passage from (pre)historic to (pre)modern methods. The
plan is to discuss briefly the following topics:
· Complex spaces
· Kodaira–Spencer theory
· Grothendieck–Schlessinger approach to deformations
· Deformation theory via DGLA
· The BTT theorem
· Formal Kuranishi theory
· Some aspects of dGBVA, dervied deformation theory and EDF
We run this seminar together with Hristo Iliev
Fall 2015 seminar webpage
Fall 2014 seminar webpage
Fall 2012 seminar webpage
Last edit: June 6, 2016
