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SUMMARY:From moduli spaces to algebras - A survey of modern Donaldson-Thom
 as theory
DTSTART:20200303T151500
DTEND:20200303T163000
DTSTAMP:20260916T044049Z
UID:f6685d0266cee99618e1d7a149a07ff000e7ad3704bf7deb212ae80f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sven Meinhardt (The University of Sheffield)\nClassifying obje
 cts has a long history in mathematics. Moduli spaces turned out to be a us
 eful tool if the classification is wild\, i.e. if the answer is not a disc
 rete list as for Lie algebras. On the other hand\, moduli spaces are very 
 hard to understand from a geometrical point of view. Hence\, replacing the
 m with related vector spaces might simplify the subject\, in particular as
  these vector spaces should carry an algebra structure inherited from a si
 milar structure on moduli spaces. In the first part of my talk I'll sketch
  this strategy for easier classification problems for which we can use the
  cohomology of moduli spaces. This includes the classification of vector b
 undles on algebraic curves or quiver representations. In the second part w
 e'll try to extend this machinery to include classification problems motiv
 ated by string theory involving sheaves on Calabi-Yau 3-folds\, representa
 tions of quivers with potential or flat connections on oriented real 3-fol
 ds. This is joint work with Ben Davison and based on work of Kontsevich/So
 ibelman and Joyce.\n\n 
LOCATION:MA A3 31 https://plan.epfl.ch/?room==MA%20A3%2031
STATUS:CONFIRMED
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