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Algebra seminar - Bethany Marsh

Dates:13 February 2024
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
Speaker:Bethany Marsh
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Algebra"
  • By Department of Mathematics

Title: An introduction to tau-exceptional sequences.

Abstract: Exceptional sequences in module categories over hereditary algebras (e.g. path algebras of quivers) were introduced and studied by W. Crawley-Boevey and C. M. Ringel in the early 1990s, as a way of understanding the structure of such categories. They were motivated by the consideration of exceptional sequences in algebraic geometry by A. I. Bondal, A. L. Gorodontsev and A. N. Rudakov.

Exceptional sequences can also be considered over arbitrary finite dimensional algebras, but their behaviour is not so good in general: for example, complete sequences may not exist. We look at different ways of generalising the theory from the hereditary case, with a focus on tau-exceptional sequences, recently introduced in joint work with A. B. Buan (NTNU), motivated by the tau-tilting theory of T. Adachi, O. Iyama and I. Reiten, and signed exceptional sequences in the hereditary case defined by K. Igusa and G. Todorov.

Speaker

Bethany Marsh

Organisation: University of Leeds

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Simon Crawford

simon.crawford@manchester.ac.uk

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