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SUMMARY:Fabian Haiden (University of Oxford)
DTSTART:20200428T140000Z
DTEND:20200428T150000Z
DTSTAMP:20260404T094429Z
UID:LeedsAlgebra/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Leeds
 Algebra/1/">From Hall algebras to legendrian skein algebras</a>\nby Fabian
  Haiden (University of Oxford) as part of Leeds algebra seminar\n\n\nAbstr
 act\nA mysterious relation between Hall algebras of Fukaya categories of s
 urfaces and skein algebras was suggested by recent work of Morton-Samuelso
 n and Samuelson-Cooper. I will discuss how this relation can be made preci
 se using knot theory of legendrian curves and general gluing properties of
  skein and Hall algebras. Along the way I aim to motivate and review notio
 ns such as Hall algebras\, Fukaya categories of surfaces\, and skein theor
 y. Based on arXiv:1908.10358\, arXiv:1910.04182\, and an ongoing joint pro
 ject with Ben Cooper.\n
LOCATION:https://stable.researchseminars.org/talk/LeedsAlgebra/1/
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SUMMARY:Hipolito Treffinger (University of Leicester)
DTSTART:20200505T140000Z
DTEND:20200505T150000Z
DTSTAMP:20260404T094429Z
UID:LeedsAlgebra/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Leeds
 Algebra/2/">tau-tilting theory and the Brauer-Thrall conjectures</a>\nby H
 ipolito Treffinger (University of Leicester) as part of Leeds algebra semi
 nar\n\n\nAbstract\nBack in the 1940's\, Brauer and Thrall announced two im
 portant results concerning the indecomposable representations of algebras.
  Since no proof was published in the years that followed the announcement\
 , these statements started to be known as the first and second Brauer-Thra
 ll conjectures. Many tools were introduced in representation theory in ord
 er to prove these conjectures and many years passed until a proof of these
  results was published.\n\nIn this talk we will start by motivating the co
 njectures from basic representation theory. Afterwards\, we will show how 
 recent results in tau-tilting theory give rise to modern versions of these
  conjectures\, namely the first and second tau-Brauer-Thrall conjectures\,
  and we will give a proof of the first tau-Brauer-Thrall conjecture. \n\nT
 ime permitting\, we will discuss the second tau-Brauer-Thrall conjecture f
 or special biserial algebras.  \n\nThis is joint work with Sibylle Schroll
  and Yadira Valdivieso.\n
LOCATION:https://stable.researchseminars.org/talk/LeedsAlgebra/2/
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