BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Projective twists in a plumbing configuration of projective spaces
  - Brunella Charlotte Torricelli\, Cambridge University
DTSTART:20190510T150000Z
DTEND:20190510T160000Z
UID:TALK124423@talks.cam.ac.uk
CONTACT:63445
DESCRIPTION:Ever since Seidel's early work on Dehn twists around Lagrangia
 n spheres\, this class of symplectomorphisms has gained the attention of t
 he symplectic community. In particular\, these maps have supplied insightf
 ul examples of nontrivial symplectomorphisms that are not detectable by th
 e smooth structure. The study of symplectic mapping class groups through t
 he lens of Dehn twists and the relations they satisfy has become an active
  and fruitful area of research in symplectic topology. Little is known abo
 ut the role of the projective counterparts of Dehn twists (around Lagrangi
 an projective spaces)\, the so-called projective twists\, within the sympl
 ectic mapping class group. In this talk I will explain how to use results 
 of Keating and Barth-Geiges-Zehmish established for Dehn twists to infer n
 ew information about projective twists. In the cases I consider\, (the fun
 ctors induced by) these symplectomorphisms are related to each other by an
  appropriate Lagrangian correspondence (in the setting of Mau-Woodward-Weh
 rheim theory). In particular\, we obtain a free generation result for two 
 projective twists along the core components of a plumbing of projective sp
 aces\, and a milder statement for a more general setting in certain Liouvi
 lle manifolds.
LOCATION:MR13
END:VEVENT
END:VCALENDAR