BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Dan Rutherford (Ball State University)
DTSTART:20210209T190000Z
DTEND:20210209T200000Z
DTSTAMP:20260423T024749Z
UID:AG-Davis/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/19/
 ">Augmentations and immersed Lagrangian fillings</a>\nby Dan Rutherford (B
 all State University) as part of UC Davis algebraic geometry seminar\n\n\n
 Abstract\nThe Legendrian contact DGA (differential graded algebra) is a fu
 ndamental invariant of Legendrian submanifolds that is functorial for a cl
 ass of Lagrangian cobordisms. In particular\, a Lagrangian filling of a Le
 gendrian knot induces an augmentation\, i.e. a DGA map \n$\\mathcal{A}(\\L
 ambda)\\to \\mathbb{F}$ to a base field. It is natural to ask: Can every a
 ugmentation be induced by a Lagrangian filling?. The answer is no\, and we
  will survey known obstructions to inducing augmentations by fillings and 
 give some new examples (joint with H. Gao) of non-fillable augmentations o
 f Legendrian twist knots. We will then present a complementary result (joi
 nt with Y. Pan) showing that any augmentation can in fact be induced by an
  immersed Lagrangian filling. Time permitting we will discuss (joint work 
 in progress with H. Gao) examples of immersed fillings related to ruling s
 tratifications of augmentation varieties.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/19/
END:VEVENT
END:VCALENDAR