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SUMMARY:Fabian Haiden (University of Oxford)
DTSTART:20200428T140000Z
DTEND:20200428T150000Z
DTSTAMP:20260422T225725Z
UID:LeedsAlgebra/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LeedsAlgebra
 /1/">From Hall algebras to legendrian skein algebras</a>\nby Fabian Haiden
  (University of Oxford) as part of Leeds algebra seminar\n\n\nAbstract\nA 
 mysterious relation between Hall algebras of Fukaya categories of surfaces
  and skein algebras was suggested by recent work of Morton-Samuelson and S
 amuelson-Cooper. I will discuss how this relation can be made precise usin
 g knot theory of legendrian curves and general gluing properties of skein 
 and Hall algebras. Along the way I aim to motivate and review notions such
  as Hall algebras\, Fukaya categories of surfaces\, and skein theory. Base
 d on arXiv:1908.10358\, arXiv:1910.04182\, and an ongoing joint project wi
 th Ben Cooper.\n
LOCATION:https://researchseminars.org/talk/LeedsAlgebra/1/
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SUMMARY:Hipolito Treffinger (University of Leicester)
DTSTART:20200505T140000Z
DTEND:20200505T150000Z
DTSTAMP:20260422T225725Z
UID:LeedsAlgebra/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LeedsAlgebra
 /2/">tau-tilting theory and the Brauer-Thrall conjectures</a>\nby Hipolito
  Treffinger (University of Leicester) as part of Leeds algebra seminar\n\n
 \nAbstract\nBack in the 1940's\, Brauer and Thrall announced two important
  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-Thrall conj
 ectures. Many tools were introduced in representation theory in order to p
 rove these conjectures and many years passed until a proof of these result
 s was published.\n\nIn this talk we will start by motivating the conjectur
 es from basic representation theory. Afterwards\, we will show how recent 
 results in tau-tilting theory give rise to modern versions of these conjec
 tures\, namely the first and second tau-Brauer-Thrall conjectures\, and we
  will give a proof of the first tau-Brauer-Thrall conjecture. \n\nTime per
 mitting\, we will discuss the second tau-Brauer-Thrall conjecture for spec
 ial biserial algebras.  \n\nThis is joint work with Sibylle Schroll and Ya
 dira Valdivieso.\n
LOCATION:https://researchseminars.org/talk/LeedsAlgebra/2/
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