Vidit Nanda

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  The Discrete Flow Category
  Vidit Nanda
  Large-scale homology computations are often rendered tractable by discrete Morse
  theory. Every discrete Morse function on a given cell complex X produces a Morse chain
  complex whose chain groups are spanned by critical cells and whose homology is isomorphic to
  that of X. However, the space-level information is typically lost because very little is known
  about how critical cells are attached to each other. In this talk, we discretize a beautiful
  construction of Cohen, Jones and Segal in order to completely recover the homotopy type of X
  from an overlaid discrete Morse function.