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Description An ICTP Virtual Meeting

The event will bring together physicists working on various topics in physics that utilize generalized cohomology theories, as well as mathematicians working on functorial quantum field theories and their classification, topological modular forms, cobordisms, and other cohomology theories that appear in physics problems.
 
Topics:
  • Classification of symmetry protected topological states (SPTs) and anomalies in QFTs via cobordisms, with applications to condensed matter, particle physics and beyond standard model theories. The mathematical counterpart is classification of extended invertible topological QFTs, defined on manifolds with various structures.
  • Classification of supersymmetric QFTs via generalized cohomology theories such as KO (real K-theory), TMF (topological modular forms), and their possible generalizations. Construction of new renormalization group flow invariants generalizing (flavored) Witten index.
  • Swampland program and cobordisms. Cobordisms with extra structures that appear in quantum gravity, String theory and M-theory.

Speakers:
D. BERWICK-EVANS, University of Illinois, USA
G. BURATTI, IFT, Madrid, Spain
D. FREED, University of Texas, USA
T. JOHNSON-FREYD, Dalhousie University and Perimeter Institute, Canada
M. MONTERO, Harvard University, USA
L. MÜLLER, MPIM, Bonn, Germany
L. STEHOUWER, MPIM, Bonn, Germany
M. YAMASHITA, RIMS, Kyoto University, Japan
K. YONEKURA, Tohoku University, Japan


Registration: there is no registration fee.

Material

Generalized Cohomology and Physics | (smr 3631)
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  • Tuesday, 2 November 2021
    • 12:50 - 13:00 Welcome remarks 
      Time zone: You can choose your time zone (in place of Europe/Rome) on the top right of the page and the programme time will be modified accordingly.
      Convener: Pavel PUTROV (ICTP, Italy)
    • 13:00 - 18:30
      • 13:00 Classification of topologically nontrivial terms in action 1h0'
        Speaker: Kazuya YONEKURA (Tohoku University, Japan)
        Material: Video
      • 14:00 Discussion 30'
      • 14:30 Break 30'
      • 15:00 Invertible topological field theory with fermionic symmetries 1h0'
        Speaker: Luuk STEHOUWER (MPIM, Bonn, Germany)
        Material: Video
      • 16:00 Discussion 30'
      • 16:30 Break 30'
      • 17:00 How do field theories detect the torsion in topological modular forms 1h0'
        Speaker: Daniel BERWICK-EVANS (University of Illinois, USA)
        Material: Video
      • 18:00 Discussion 30'
  • Wednesday, 3 November 2021
    • 13:00 - 18:30
      • 13:00 Differential pushforwards, Anderson duality and invertible QFT's 1h0'
        Speaker: Mayuko YAMASHITA (RIMS, Kyoto University, Japan)
        Material: Abstract Video
      • 14:00 Discussion 30'
      • 14:30 Break 30'
      • 15:00 The anomaly that was not meant IIB 1h0'
        Speaker: Miguel MONTERO (Harvard University, USA)
        Material: Video
      • 16:00 Discussion 30'
      • 16:30 Break 30'
      • 17:00 Generalized cohomology in field theory 1h0'
        Speaker: Daniel FREED (University of Texas, Austin, USA)
        Material: Abstract Video
      • 18:00 Discussion 30'
  • Thursday, 4 November 2021
    • 13:00 - 18:30
      • 13:00 Anomalies, Higher Geometry, and Functorial Field Theories 1h0'
        Speaker: Lukas MÜLLER (MPIM, Bonn, Germany)
        Material: Video
      • 14:00 Discussion 30'
      • 14:30 Break 30'
      • 15:00 Dynamical cobordism and swampland distance conjectures 1h0'
        Speaker: Ginevra BURATTI (IFT, Madrid, Spain)
        Material: Video
      • 16:00 Group Photo 5'
      • 16:05 Discussion 30'
      • 16:35 Break 25'
      • 17:00 TMF and SQFT: questions and conjectures 1h0'
        Speaker: Theo JOHNSON-FREYD (Dalhousie University and Perimeter Institute, Canada)
        Material: Abstract Video
      • 18:00 Discussion 30'
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