BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Miguel Moreira (MIT)
DTSTART:20240110T110000Z
DTEND:20240110T120000Z
DTSTAMP:20260423T010748Z
UID:GPL/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPL/37/">The
  cohomology ring of moduli spaces of 1-dimensional sheaves on $\\mathbb P^
 2$</a>\nby Miguel Moreira (MIT) as part of Geometry and Physics @ Lisbon\n
 \nLecture held in 6.2.33 (Seminar Room\, Math\, FCUL).\n\nAbstract\nIn thi
 s talk I will go over some recent results and conjectures concerning the c
 ohomology (and in particular its ring structure) of the moduli spaces of s
 table 1-dimensional sheaves on the projective plane. The cohomology of suc
 h moduli spaces\, together with its perverse filtration\, is conjectured t
 o be related to curve counting on the total space of the canonical bundle 
 of $\\mathbb P^2$. I will explain a strategy to fully describe the cohomol
 ogy rings of moduli spaces of sheaves supported in curves up to degree 5\,
  and how that can be used to verify this prediction in such degrees. If ti
 me allows\, I will explain a new conjectural description of the perverse f
 iltration which we have also verified up to degree 5. This is based on joi
 nt work with Y. Kononov\, W. Lim and W. Pi.\n
LOCATION:https://researchseminars.org/talk/GPL/37/
END:VEVENT
END:VCALENDAR