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Seminars

Algebraic Geometry Seminar

Chain level string topology for classifying spaces

2024/12/10 (Tue.) 15:30~17:00
  • Date : 2024/12/10 (Tue.) 15:30~17:00
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Chris Brav (SIMIS)
  • Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
  • Abstract : After reviewing the theory of local systems on homotopy types and describing the similarities and differences with quasi-coherent sheaves on schemes, we study the case of local systems on the classifying space BG of a compact Lie group G of dimension d and give conditions for the existence of a proper Calabi-Yau structure of dimension -d. By the solution of the cyclic Deligne conjecture or the 2 dimensional cobordism hypothesis, we then obtain string topology operations on the cochains of the free loop space LBG. This is joint work with N. Rozenblyum.
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