BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:On the HOMFLY invariant of algebraic knots - Vivek
Shende\, Princeton
DTSTART;TZID=Europe/London:20100126T160000
DTEND;TZID=Europe/London:20100126T170000
UID:TALK22665AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/22665
DESCRIPTION:A complex plane curve singularity determines\, by
taking the boundary of a\nsmall neighborhood\, an
iterated torus link in the three-sphere. The\nalge
braic geometry of the singularity and the topology
of the link are\nintimately related\; for instanc
e\, Zariski showed that the series of blowups\nnee
ded to resolve the singularity carries data equiva
lent to the isotopy\nclass of the link. More recen
tly\, Campillo\, Delgado\, and Gusein-Zade gave a\
nformula equating the Alexander polynomial of the
link to a generating series\npopulated by Euler ch
aracteristics of spaces of functions defined at th
e\nsingularity. I will state a conjectural general
ization of their formula: the\nHOMFLY invariant of
the link of a plane curve singularity is a genera
ting\nfunction of Euler characteristics of moduli
spaces of schemes supported at\nthe singularity. I
will discuss the evidence for the conjecture\, an
d show\nthat it holds for torus knots. The talk pr
esents joint work with Alexei\nOblomkov.\n
LOCATION:MR 4
CONTACT:Jake Rasmussen
END:VEVENT
END:VCALENDAR