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SUMMARY:Supersymmetric field theories and elliptic cohomology - Daniel  Be
 rwick-Evans (University of Illinois at Urbana-Champaign)
DTSTART:20230613T080000Z
DTEND:20230613T090000Z
UID:TALK199873@talks.cam.ac.uk
DESCRIPTION:Since the mid 1980s\, there have been hints of a deep connecti
 on between 2-dimensional field theories and elliptic cohomology. This lead
  to Stolz and Teichner's conjectured geometric model for the universal ell
 iptic cohomology theory of topological modular forms (TMF) in which cocycl
 es are 2-dimensional supersymmetric field theories. Basic properties of th
 ese field theories lead to expected integrality and modularity properties\
 , but the abundant torsion in TMF has always been mysterious. In this talk
 \, I will describe deformation invariants of 2-dimensional field theories 
 that realize some of the torsion in TMF.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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