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:Isaac Newton Institute Seminar Series
SUMMARY:Integrality of instanton numbers - Masha Vlasenko
(Polish Academy of Sciences)
DTSTART;TZID=Europe/London:20220722T090000
DTEND;TZID=Europe/London:20220722T100000
UID:TALK175046AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/175046
DESCRIPTION:Instanton numbers of Calabi--Yau threefolds are de
fined by Gromov--Witten theory. They 'count' curve
s of fixed degree on the manifold. The actual defi
nition involves integration over the moduli space
of curves\, which gives a priori rational numbers.
The mirror theorem allows one to express them in
terms of solutions of a differential equation on t
he mirror manifold. However\, the integrality of i
nstanton numbers is not clear from this expression
either. In 2003 Jan Stienstra outlined an approac
h to integrality using the p-adic Frobenius struct
ure on the differential equation. In a recent seri
es of papers with Frits Beukers we propose an expl
icit and rather elementary construction of the Fro
benius structure\, which allows us to prove integr
ality of instanton numbers in several key examples
of mirror symmetry. In this talk I will speak abo
ut the beginnings of mirror symmetry and explain t
he ideas of our construction.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
END:VEVENT
END:VCALENDAR