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SUMMARY:Álvaro del Pino Gómez (Utrecht University)
DTSTART:20220608T160000Z
DTEND:20220608T170000Z
DTSTAMP:20260423T040216Z
UID:TQFT/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/65/">h-
 Principles and applications to distributions</a>\nby Álvaro del Pino Góm
 ez (Utrecht University) as part of Topological Quantum Field Theory Club (
 IST\, Lisbon)\n\nLecture held in Room 3.10 (3rd floor\, Mathematics Depart
 ment\, Instituto Superior Técnico).\n\nAbstract\nIn the 1950s\, Smale and
  Hirsch proved that the space of immersions of an m-dimensional manifold i
 nto an n-dimensional manifold is homotopy equivalent\, as long as m < n\, 
 to the space of monomorphisms between the tangent spaces. Any statement of
  this form (i.e. a comparison theorem between a space of geometric structu
 res and an associated space that is purely algebraic topological in nature
 )\, is known as a homotopy principle\, or h-principle.\n\nLater on\, in th
 e late 60s and early 70s\, Gromov developed (or generalised) various techn
 iques capable of proving h-principles. Since then\, these ideas have been 
 impactful in the study of many geometric structures (including immersions\
 , submersions\, foliations\, symplectic structures\, contact structures\, 
 embeddings\, and Riemannian metrics).\n\nThe goal of the talk will be to s
 ketch some of these techniques and state some consequences in the homotopi
 cal study of tangent distributions (i.e.\, subbundles of the tangent bundl
 e).\n
LOCATION:https://researchseminars.org/talk/TQFT/65/
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