ICTP BASIC NOTIONS SEMINAR (Andrea Solotar) - Friday, 9 February at 14:00 - STASI Seminar Room

[ICTP Math Section]

BASIC NOTIONS SEMINAR SERIES   2018

Friday 9 February, at 14.00 hrs.

Andrea  Solotar (Universidad de Buenos Aires)


Title:
Hochschild (co)homology and geometric regularity

Abstract:
Hochschild (co)homology spaces are homological invariants of associative 
algebras that are useful to describe several properties of the concerned 
algebra. In this talk we will focus on geometric regularity. If the 
algebra is commutative and finitely generated, then Hochschild homology 
can be used to decide whether the associated algebraic variety is 
regular or not. In the non-commutative case, the meaning of all this is 
not so clear. In this talk I will first describe Hochschild (co)homology 
and the results that are known in the commutative setting, and I will 
comment afterwards on the non-commutative case.


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**VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)*