ICTP Mathematics Seminar - Thursday 8 February, at 14:00 (Andrea Solotar)

[ICTP Math Section]

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)