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SUMMARY:Stephan Stolz (University of Notre Dame)
DTSTART:20211027T200000Z
DTEND:20211027T210000Z
DTSTAMP:20260414T173824Z
UID:BUGeom/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/31/">
 TMF-cohomology via 2-dimensional QFTs</a>\nby Stephan Stolz (University of
  Notre Dame) as part of Boston University Geometry/Physics Seminar\n\nLect
 ure held in Zoom meeting ID: 953 4652 9200.\n\nAbstract\nTopological modul
 ar form theory is a generalized cohomology theory whose coefficient ring T
 MF^*(point) is rationally isomorphic to the ring of integral modular forms
 . Modular forms also show up as partition functions of suitable 2-dimensio
 nal QFTs. For example\, the Witten genus W(X) of a closed manifold X is an
  integral modular form\, provided X is a spin manifold and the first Pontr
 yagin class of X is trivial. This led to the question whether the correspo
 nding spectrum TMF can be constructed in terms of 2D field theories.  \n\n
 \nIn this talk I will recall a result of Teichner and myself according to 
 which the partition function of a supersymmetric 2D Euclidean field theory
  is an integral modular form\, as well as a Conjecture expressing the spac
 es which form the spectrum TMF as spaces of supersymmetric 2D field theori
 es.\n
LOCATION:https://researchseminars.org/talk/BUGeom/31/
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