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SUMMARY:Applications of cobordism categories to enumerative invariants - M
 arkus Upmeier\, Aberdeen
DTSTART:20220223T160000Z
DTEND:20220223T170000Z
UID:TALK168617@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:The construction of enumerative invariants requires an underst
 anding of certain differential-topological properties of moduli spaces. Im
 portant examples include instanton counting problems in gauge theory and D
 onaldson-Thomas invariants in algebraic geometry.\n\nIn my talk\, I will d
 iscuss a new approach to these index-theoretic problems based on cobordism
  categories. The main application is to produce canonical orientations for
  Donaldson-Thomas invariants for Calabi-Yau 4-folds and sheaves with c_2=0
 . Finally\, I will explain how the general case can be solved using flag s
 tructures\, a new concept that arises naturally from the point of view cob
 ordism categories.
LOCATION:MR13
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