BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20270328T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20261025T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20261027T152032Z
UID:69a7ee4200403374631665@ist.ac.at
DTSTART:20261119T131500
DTEND:20261119T161500
DESCRIPTION:Speaker: Leonardo Francisco Cavenaghi\nhosted by Tamas Hausel\n
 Abstract: In this talk\, we quickly recall a weaker notion of the Hodge at
 oms of Katzarkov--Kontsevich--Pantev--Yu which suffices to solve the irrat
 ionality of wide interesting varieties\, such as very general smooth cubic
  4-folds. This is done by introducing a super-analytic manifold (in the se
 nse of Berkovich)\, which should be thought of as the parameter space for 
 the Gromov--Witten potential. This supermanifold carries a natural action 
 of the Hodge group\, and at fixed points\, the isomorphism classes (partit
 ioned as generalized eigenspaces for the quantum multiplication action) of
  the isotropy representations are called coarse Hodge atoms''. We explain 
 to what extent this data can be read from Lie-theoretic content in the cas
 e of complete intersections in flag varieties\, present an algorithm to co
 mpute atomic decomposition (implemented at https://leonardofcavenaghi.gith
 ub.io/atomicdecompositions/)\, and present some theoretical results to obs
 truct the rationality of 4-folds and some 5-folds.This is based on two joi
 nt works: the in-progress 9.5-lecture series on the theory of atoms with L
 . Katzarkov and M. Kontsevich\, and a recent work with B. Alexeev\, G. Gal
 indo\, L. Katzarkov\, and P. A. M. Martins.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Leonardo Francisco Cavenaghi: On the atomic decomposition of some c
 omplete intersections
URL:https://talks-calendar.ista.ac.at/events/6723
END:VEVENT
END:VCALENDAR