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SUMMARY:Non-flexible loops of loose Legendrians in 3 dimensions [MPIM]
DTSTART:20250701T090000Z
DTEND:20250701T100000Z
DTSTAMP:20260415T103900Z
UID:indico-event-533@math-events.uni-bonn.de
DESCRIPTION:Speakers: Eduardo Fernandez (University of Georgia)\n\nLow-dim
 ensional topology seminar\nIn recent years\, significant progress has been
  made in understanding families of Legendrians in 3-dimensional contact to
 pology. For instance\, the homotopy type of the component of the max-tb Le
 gendrian unknot (or any algebraic link) in the standard contact 3-sphere i
 s now completely understood. However\, the existence of non-flexible famil
 ies of Legendrians has remained an open question. In this talk\, we will e
 xplore this question in the context of loops of Legendrians. Specifically\
 , we will show that in every closed overtwisted contact 3-manifold\, there
  exists a non-contractible yet formally contractible loop of loose Legendr
 ians. The proof relies on h-principles and parametrized Legendrian surgery
 \, drawing inspiration from Dave Gay’s work on diffeomorphisms of the 4-
 sphere. This talk is based on joint work in progress with Fabio Gironella.
 \n \n\nhttps://math-events.uni-bonn.de/event/533/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/533/
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