Al@Bicocca Seminars: Sofiya Yatsyna and Nowras Otmen

On certain homological invariants of TDLC groups / Probabilistic identities, analytic groups and free constructions
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algebra in bicocca

Tuesday 8 July 2025 from 4 pm, as part of the Al@Bicocca seminar cycle, Sofiya Yatsyna (University of London) and Nowras Otmen (Università degli Studi di Padova) will give the following talks

 

Speaker: Sofiya Yatsyna

Title: On certain homological invariants of TDLC groups

Abstract: In extending notions from Farrell-Tate cohomology, Gedrich and Gruenberg (1987) introduced two new interesting homological invariants for a ring: SILP, the supremum of the injective lengths of the projectives, and SPLI, the supremum of the projective lengths of the injectives. Particularly, they showed that given a suitable commutative ring and group, if SPLI is finite, then SILP is also finite. Emmanouil (2010) generalises this result and shows that for any group, SILP and SPLI are equal over the integers. This talk will explore the development of an analogous theory for the category of totally disconnected locally compact groups and discuss whether projective and injective modules are really dual.

 

Speaker: Nowras Otmen

Title: Probabilistic identities, analytic groups and free constructions

Abstract: Profinite groups can be endowed with a probability measure, which allows one to investigate probabilistic questions in this class of topological groups. A particularly interesting instance is that of a group with a probabilistic identity, that is, when a group satisfies a word with positive probability. In this seminar, I will investigate the structural implications of satisfying a probabilistic identity in two classes of groups: analytic groups and fundamental groups of graphs of groups. This is joint work with Steffen Kionke, Tommaso Toti, Matteo Vannacci and Thomas Weigel.

 

Information to attend

The seminars will be held in Room 3014 (3rd Floor - U5 Building), Department of Mathematics and Applications and will also be available online by this link

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