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SUMMARY:Pedro Tamaroff (MPIMiS\, Leipzig\, Germany)
DTSTART:20211007T110000Z
DTEND:20211007T120000Z
DTSTAMP:20260423T022924Z
UID:LAGOON/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/48/">
 Minimal models for monomial algebras</a>\nby Pedro Tamaroff (MPIMiS\, Leip
 zig\, Germany) as part of Longitudinal Algebra and Geometry Open ONline Se
 minar (LAGOON)\n\n\nAbstract\nWe will explain how to obtain the minimal mo
 del of a monomial associative algebra A\, as in [1]. This multiplicative r
 esolution has for generators the Anick chains of A\, and as a differential
  a combinatorial `cutting' operation that splits such chains into `smaller
 ' ones. Along with the formalism of Anick chains\, our results make use of
  the algebraic discrete Morse theory of Jöllenbeck--Welker and Sköldberg
 \, and the general theory of A_infty-(co)algebras. We aim to also mention 
 certain open questions and conjectures that emerged from [1] and related w
 ork [2] with Dotsenko and Gélinas\, and how one could begin elucidating s
 imilar results for other algebraic structures\, where it is known the beha
 viour of the minimal model is already pathological. \n\n[1] Minimal models
  for monomial algebras\, Homology\, Homotopy and Applications Volume 23 (2
 021) no. 1\, pp. 341 – 366. (arXiv:1804.01435)\n\n[2] Finite generation 
 for Hochschild cohomology of Gorenstein monomial algebras\, preprint arXiv
 :1909.00487\n
LOCATION:https://researchseminars.org/talk/LAGOON/48/
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