BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Failure of Ordinary TQFTs to Detect Homotopy Type [MPIM]
DTSTART:20261026T093000Z
DTEND:20261026T110000Z
DTSTAMP:20261022T171400Z
UID:indico-event-1694@math-events.uni-bonn.de
DESCRIPTION:Speakers: Katherine Novey (MPIM)\n\nQuantum Topology Seminar 
 \nTopological Quantum Field Theories (TQFTs) provide manifold invariants. 
 There has been significant work done over the past couple of decades inves
 tigating the sensitivity of these invariants and which manifolds they dist
 inguish\, but the question remains largely open. Work by David Reutter and
  Christopher Schommer-Pries has shown that ordinary TQFTs can distinguish 
 (stable) diffeomorphism classes of closed\, connected\, even-dimensional m
 anifolds subject to certain finiteness conditions. In particular\, simply 
 connected\, closed\, smooth $6$-manifolds with finite $\\pi_2$ are diffeom
 orphic if and only if they cannot be distinguished by ordinary TQFTs. The 
 question of whether or not this result holds for all simply connected $6$-
 manifolds was open. I will show that the answer to this question is no by 
 presenting a pair of simply connected\, non-homotopy equivalent $6$-manifo
 lds with infinite $\\pi_2$ that are indistinguishable by ordinary TQFTs. T
 his counter-example can be extended to show that ordinary TQFTs cannot dis
 tinguish the homotopy type of simply connected closed manifolds in all dim
 ensions $\\geq 6$ and non-simply connected closed $5$-manifolds.\n\nhttps:
 //math-events.uni-bonn.de/event/1694/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1694/
END:VEVENT
END:VCALENDAR