Algebraic Geometry Seminar - Tuesday 12 November 2019, at 16:00 - AT SISSA (Alessandro NOBILE)

[ICTP Math Section]

ALGEBRAIC   GEOMETRY   SEMINARS

_Please note change of usual venue_


Tuesday 12 November, at 16:00 hrs.


Speaker:
Alessandro NOBILE (SISSA)


Title:
A breaf introduction to deformation theory and functor of Artin rings



Abstract:
Deformation theory, introduced by Grothendieck in his seminar talks 
"Fundaments de la Géométre Algébrique", is the algebraic counterpart of 
the approach taken by Kodaira, Spencer, Nirenberg and Kuranishi to study 
small deformations of complex manifolds. In this talk I'll introduce the 
notions of deformation of an algebraic scheme, the notion of functor of 
Artin rings and I'll give give some example of those. Then I'll try to 
explain the notion of tangent space to a functor of Artin rings and give 
some example of computations in special cases. If time permits, I'll try 
to define the notion of obstruction space, give some examples and give 
an idea of how these tangent/obstruction spaces are linked with the 
local-to-global spectral sequence of Ext.

http://users.ictp.it/~arincon/AGS.html



*VENUE:  SISSA, Room (A-137) *