REMINDER - two mathematics seminars this week (Andrea Solotar) - STASI Seminar Room

[ICTP Math Section]

*1) M A T H E M A T I C S   S E M I N A R S  2018*

Thursday 8 February, at 14.00 hrs.


Andrea  Solotar (Universidad de Buenos Aires)


Title:
Gerstenhaber structure of a class of special biserial algebras


Abstract:
For any integer N≥1, we consider a class of self-injective special 
biserial algebras A/N/given by quiver and relations over a field /k/. We 
study the Gerstenhaber structure of its Hochschild cohomology ring 
HH∗(A/N/). This Hochschild cohomology ring is a finitely generated 
/k/-algebra, due to the results by Snashall and Taillefer. We employ 
their cohomology computations and Suárez-Álvarez’s approach to compute 
all Gerstenhaber brackets of HH∗(A/N/). Furthermore, we study the Lie 
algebra structure of the degree-1 cohomology HH1(A/N/) as embedded into 
a direct sum of Virasoro algebras and provide a decomposition of 
HHn(A/N/) as a module over HH1(A/N/).

(joint work with Van Nguyen, Joanna Meinel, Bregje Pauwels and Maria 
Julia Redondo)

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__VENUE:  Stasi Seminar Room  (ICTP Leonardo da Vinci Building, first 
floor)_





*2) 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)_